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Search: 1, 4, 10, 20, 35, 56
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| A000292 |
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Tetrahedral (or pyramidal) numbers: C(n+2,3) = n(n+1)(n+2)/6. (Formerly M3382 N1363)
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+20 268
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| 0, 1, 4, 10, 20, 35, 56, 84, 120, 165, 220, 286, 364, 455, 560, 680, 816, 969, 1140, 1330, 1540, 1771, 2024, 2300, 2600, 2925, 3276, 3654, 4060, 4495, 4960, 5456, 5984, 6545, 7140, 7770, 8436, 9139, 9880, 10660, 11480, 12341, 13244, 14190, 15180
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| A063260 |
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Sextinomial (also called hexanomial) coefficient array. |
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+20 10
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| 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 1, 3, 6, 10, 15, 21, 25, 27, 27, 25, 21, 15, 10, 6, 3, 1, 1, 4, 10, 20, 35, 56, 80, 104, 125, 140, 146, 140, 125, 104, 80, 56, 35, 20, 10, 4, 1, 1, 5, 15, 35, 70, 126, 205, 305, 420, 540, 651, 735, 780
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| A063265 |
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Septinomial (also called heptanomial) coefficient array. |
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+20 6
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| 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 4, 5, 6, 7, 6, 5, 4, 3, 2, 1, 1, 3, 6, 10, 15, 21, 28, 33, 36, 37, 36, 33, 28, 21, 15, 10, 6, 3, 1, 1, 4, 10, 20, 35, 56, 84, 116, 149, 180, 206, 224, 231, 224, 206, 180, 149, 116, 84, 56, 35
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| A090579 |
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Number of numbers with 4 decimal digits and sum of digits = n. |
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+20 3
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| 1, 4, 10, 20, 35, 56, 84, 120, 165, 219, 279, 342, 405, 465, 519, 564, 597, 615, 615, 597, 564, 519, 465, 405, 342, 279, 219, 165, 120, 84, 56, 35, 20, 10, 4, 1
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| A101552 |
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C(n-3,3)+C(n-7,7)+...+C(n-(4*floor((n-4)/4)+3),4*floor((n-4)/4)+3). |
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+20 2
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| 0, 0, 0, 0, 0, 0, 1, 4, 10, 20, 35, 56, 84, 120, 166, 228, 322, 484, 785, 1352, 2396, 4248, 7405, 12592, 20856, 33728, 53524, 83912, 130956, 204968, 323665, 517356, 837206, 1368108, 2248479, 3700648, 6077900, 9938488, 16164330, 26154700, 42146078
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| A133826 |
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Triangle whose rows are sequences of increasing and decreasing tetrahedral numbers: 1; 1,4,1; 1,4,10,4,1; ... . |
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+20 2
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| 1, 1, 4, 1, 1, 4, 10, 4, 1, 1, 4, 10, 20, 10, 4, 1, 1, 4, 10, 20, 35, 20, 10, 4, 1, 1, 4, 10, 20, 35, 56, 35, 20, 10, 4, 1, 1, 4, 10, 20, 35, 56, 84, 56, 35, 20, 10, 4, 1, 1, 4, 10, 20, 35, 56, 84, 120, 84, 56, 35, 20, 10, 4, 1, 1, 4, 10, 20, 35, 56, 84, 120, 165, 120, 84, 56, 35, 20
(list; table; graph; listen)
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| A038409 |
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Coordination sequence for Zeolite Code ESV. |
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+20 1
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| 1, 4, 10, 20, 35, 56, 82, 111, 143, 180, 228, 281, 329, 382, 443, 511, 581, 651, 729, 815, 910, 1000, 1087, 1195, 1313, 1423, 1530, 1644, 1777, 1915, 2041, 2172, 2311, 2461, 2620, 2772, 2927, 3094, 3279, 3453, 3622, 3807, 3995, 4194, 4389, 4583, 4780
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| A138778 |
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Triangle read by rows: T(n,k)=k*binomial(n-2k,3k) (n>=5, 1<=k<=n/5). |
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+20 1
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| 1, 4, 10, 20, 35, 56, 2, 84, 14, 120, 56, 165, 168, 220, 420, 286, 924, 3, 364, 1848, 30, 455, 3432, 165, 560, 6006, 660, 680, 10010, 2145, 816, 16016, 6006, 4, 969, 24752, 15015, 52, 1140, 37128, 34320, 364
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