{"query": "The triangular counts — 120, 153, 276", "count": 20, "results": [{"id": "card_n_9911d47ec7d2", "title": "The triangular counts — 120, 153, 276", "shelf": "science", "surface": "secular", "snippet": "The three precise headcounts of the New Testament are all triangular numbers, sealed:\n120 in the upper room (Acts 1:15) = 15·16/2; 153 fish (John 21:11) = 17·18/2; 276 souls\nsaved from the wreck (Acts"}, {"id": "card_src_oeis_a001110", "title": "A001110 — Square triangular numbers: numbers that are both triangular and square.", "shelf": "oeis", "surface": "secular", "snippet": "Square triangular numbers: numbers that are both triangular and square.  First terms: 0, 1, 36, 1225, 41616, 1413721, 48024900, 1631432881, 55420693056, 1882672131025, 63955431761796, 2172602007770041"}, {"id": "card_src_book_22255", "title": "The Counts of Gruyère — Anna De Koven", "shelf": "gutenberg", "surface": "secular", "snippet": "The Counts of Gruyère, by Anna De Koven. Subjects: Gruyère, Counts of; Gruyère (Switzerland) -- History. Read the full text (public domain): https://www.gutenberg.org/ebooks/22255"}, {"id": "card_c_b23740a2ef63", "title": "The triangular counts — 120, 153, 276 ↔ Numbers in the text and in the world — the h", "shelf": "connections", "surface": null, "snippet": "The null keeps it honest: the 5000 is NOT triangular — off by exactly 50  — a concord the card itself states; mined + verified."}, {"id": "card_c_080e9252af04", "title": "153 — the counted catch ↔ The triangular counts — 120, 153, 276", "shelf": "connections", "surface": null, "snippet": "153 = 17·18/2 (the 17th triangular — a net's worth of fish stacks into a perfect triangle)  — a concord the card itself states; mined + verified."}, {"id": "card_src_oeis_a000577", "title": "A000577 — Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges).", "shelf": "oeis", "surface": "secular", "snippet": "Number of triangular polyominoes (or triangular polyforms, or polyiamonds) with n cells (turning over is allowed, holes are allowed, must be connected along edges).  First terms: 1, 1, 1, 3, 4, 12, 24"}, {"id": "card_c_e55eed13208b", "title": "The perfect numbers — six days and a month ↔ The triangular counts — 120, 153, 276", "shelf": "connections", "surface": null, "snippet": "666 is the 36th triangular (36·37/2, sealed) — man's number stacking short of seven, an attributed reading.  — a concord the card itself states; mined + verified."}, {"id": "card_n_e1bb89d871cc", "title": "Numbers in the text and in the world — the honest assay", "shelf": "science", "surface": "secular", "snippet": "Scripture's numbers are load-bearing: dimensions given to be BUILT, counts\nkept as TESTIMONY, spans that gestate and test. Where they meet the physical world, the\nphysical answers — and this constella"}, {"id": "card_src_word_triangular_bandage", "title": "triangular bandage", "shelf": "dictionary", "surface": "secular", "snippet": "triangular bandage: (noun) bandage to support an injured forearm; consisting of a wide triangular piece of cloth hanging from around the neck — syn: sling, scarf bandage"}, {"id": "card_c_a135610d77fc", "title": "The triangular counts — 120, 153, 276 ↔ 153 — the counted catch", "shelf": "connections", "surface": null, "snippet": "153 fish (John 21:11) = 17·18/2  — a concord the card itself states; mined + verified."}, {"id": "card_c_df7252f91c06", "title": "The triangular counts instantiates the biblical-numbers assay", "shelf": "connections", "surface": null, "snippet": "One number of the honest assay — seals and nulls carried together."}, {"id": "card_src_hist_q4872897", "title": "Battle of the Counts (1287)", "shelf": "history", "surface": "secular", "snippet": "Battle of the Counts — neopolitan naval engagement of 1287. A battle, 1287-06-30. Attestation: well attested (7 independent records). History passes the witness gate, not the seal — weigh the witnesse"}, {"id": "card_src_oeis_a001966", "title": "A001966 — v-pile counts for the 4-Wythoff game with i=2.", "shelf": "oeis", "surface": "secular", "snippet": "v-pile counts for the 4-Wythoff game with i=2.  First terms: 2, 7, 13, 18, 23, 28, 34, 39, 44, 49, 54, 60, 65, 70, 75, 81, 86, 91, 96, 102, 107, 112, 117, 123."}, {"id": "card_src_word_triangular_prism", "title": "triangular prism", "shelf": "dictionary", "surface": "secular", "snippet": "triangular prism: (noun) a prism whose bases are triangles"}, {"id": "card_src_oeis_a000217", "title": "A000217 — Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n.", "shelf": "oeis", "surface": "secular", "snippet": "Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n.  First terms: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276."}, {"id": "card_src_oeis_a002817", "title": "A002817 — Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.", "shelf": "oeis", "surface": "secular", "snippet": "Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.  First terms: 0, 1, 6, 21, 55, 120, 231, 406, 666, 1035, 1540, 2211, 3081, 4186, 5565, 7260, 9316, 11781, 14706, 18145, 22155, 26796, 32131, 3822"}, {"id": "card_src_oeis_a003098", "title": "A003098 — Palindromic triangular numbers.", "shelf": "oeis", "surface": "secular", "snippet": "Palindromic triangular numbers.  First terms: 0, 1, 3, 6, 55, 66, 171, 595, 666, 3003, 5995, 8778, 15051, 66066, 617716, 828828, 1269621, 1680861, 3544453, 5073705, 5676765, 6295926, 35133153, 6147741"}, {"id": "card_src_oeis_a005448", "title": "A005448 — Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.", "shelf": "oeis", "surface": "secular", "snippet": "Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.  First terms: 1, 4, 10, 19, 31, 46, 64, 85, 109, 136, 166, 199, 235, 274, 316, 361, 409, 460, 514, 571, 631, 694, 760, 829."}, {"id": "card_src_book_69553", "title": "Feudal tyrants; or, The Counts of Carlsheim and Sargans, volume 1 (of 4) — Benedikte Naubert", "shelf": "gutenberg", "surface": "secular", "snippet": "Feudal tyrants; or, The Counts of Carlsheim and Sargans, volume 1 (of 4), by Benedikte Naubert. Subjects: German fiction -- Translations into English. Read the full text (public domain): https://www.g"}, {"id": "card_src_book_69623", "title": "Feudal tyrants; or, The Counts of Carlsheim and Sargans, volume 2 (of 4) — Benedikte Naubert", "shelf": "gutenberg", "surface": "secular", "snippet": "Feudal tyrants; or, The Counts of Carlsheim and Sargans, volume 2 (of 4), by Benedikte Naubert. Subjects: German fiction -- Translations into English. Read the full text (public domain): https://www.g"}]}