basis_map / A008277

Image under a basis map u^k -> P_k. All operations

212 sequences

• A327997 → basis A008277
  1 · 4, 1 · 17, 10, 1 · 78, 81, 18, 1 … row sums 1, 5, 28, 178, 1292, 10684, 99880, …
  (−∞, 0] nonnegative
• A008459 → basis A008277
  1 · 2, 1 · 6, 7, 1 · 20, 43, 15, 1 … row sums 1, 3, 14, 79, 505, 3554, 27083, 221015, …
  (−∞, 0] nonnegative
• basis-map coefficients of A026729, shifted → basis A008277
  1 · -1, -1 · 1, 3, 1 · -1, -7, -6, -1 … row sums 1, -2, 5, -15, 52, -203, 877, -4140, …
  (−∞, 0]
• A356546 → basis A008277
  1 · 4, 2 · 24, 30, 6 · 160, 380, 180, 20 … row sums 1, 6, 60, 740, 10570, 169848, 3015012, …
  (−∞, 0] nonnegative
• A030528 → basis A008277
  1 · 2, 1 · 3, 5, 1 · 5, 17, 9, 1 … row sums 1, 3, 9, 32, 127, 558, 2675, 13859, …
  (−∞, 0] nonnegative
• A116412 → basis A008277
  1 · 4, 1 · 13, 9, 1 · 43, 55, 15, 1 … row sums 1, 5, 23, 114, 601, 3368, 20005, …
  (−∞, 0] nonnegative
• A038331 → basis A008277
  289, 195, 25 · 4913, 5735, 1650, 125 … row sums 509, 12423, 320356, 8730007, 251174029, …
  (−∞, 0] nonnegative
• A193685: 5-Stirling numbers of the second kind.
  1 · 5, 1 · 25, 11, 1 · 125, 91, 18, 1 … row sums 1, 6, 37, 235, 1540, 10427, 73013, …
  A193685 (−∞, 0) nonnegative
• A038301 → basis A008277
  400, 561, 121 · 8000, 21791, 11253, 1331 … row sums 1082, 42375, 1844815, 88316152, …
  (−∞, 0] nonnegative
• A100862 → basis A008277
  1 · 2, 1 · 5, 6, 1 · 14, 31, 12, 1 … row sums 1, 3, 12, 58, 328, 2114, 15248, 121356, …
  (−∞, 0] nonnegative
• A081578 → basis A008277
  1 · 2, 1 · 7, 8, 1 · 20, 43, 15, 1 … row sums 1, 3, 16, 79, 439, 2582, 16211, 107655, …
  (−∞, 0] nonnegative
• A091042 → basis A008277
  1 · 4, 3 · 16, 25, 5 · 64, 175, 77, 7 … row sums 1, 7, 46, 323, 2431, 19504, 165855, …
  (−∞, 0] nonnegative
• A133214 → basis A008277
  13, 20, 4 · 63, 182, 84, 8 · 321, 1600, 1312, 288, 16 … row sums 37, 337, 3537, 41397, 529829, 7320145, …
  (−∞, 0] nonnegative
• A178822 → basis A008277
  1 · 12, 6 · 84, 105, 21 · 448, 1064, 504, 56 … row sums 1, 18, 210, 2072, 19026, 169848, …
  (−∞, 0] nonnegative
• A011973 → basis A008277
  1 · 1 · 2, 1 · 3, 2 … row sums 1, 1, 3, 5, 12, 24, 56, 123, …
  (−∞, 0] nonnegative
• A126351 → reverse
  1 · 2, 1 · 4, 5, 1 · 8, 19, 9, 1 … row sums 1, 3, 10, 37, 151, 674, 3263, 17007, …
  (−∞, 0] nonnegative
• A038279 → basis A008277
  1 · 9, 1 · 81, 19, 1 · 729, 271, 30, 1 … row sums 1, 10, 101, 1031, 10644, 111211, …
  (−∞, 0] nonnegative
• A038277 → basis A008277
  1 · 18, 11 · 324, 517, 121 · 5832, 18557, 10527, 1331 … row sums 1, 29, 962, 36247, 1530807, 71478890, …
  (−∞, 0] nonnegative
• A178821 → basis A008277
  1 · 10, 5 · 60, 75, 15 · 280, 665, 315, 35 … row sums 1, 15, 150, 1295, 10570, 84924, 685230, …
  (−∞, 0] nonnegative
• A008288 → basis A008277
  1 · 2, 1 · 5, 6, 1 · 12, 27, 11, 1 … row sums 1, 3, 12, 51, 237, 1190, 6415, 36899, …
  (−∞, 0] nonnegative
• basis-map coefficients of A112227 → basis A008277
  1, 3, 1 · 1, 7, 6, 1 · 1, 15, 25, 10, 1 … row sums 5, 15, 52, 203, 877, 4140, 21147, …
  (−∞, 0] nonnegative
• A100861 → basis A008277
  1 · 1 · 2, 1 · 4, 3 … row sums 1, 1, 3, 7, 28, 96, 481, 2143, …
  (−∞, 0] nonnegative
• basis-map coefficients of A021012 → basis A008277
  1 · -1, -1 · 2, 6, 2 · -6, -42, -36, -6 … row sums 1, -2, 10, -90, 1248, -24360, 631440, …
  (−∞, 0]
• A027467 → basis A008277
  1 · 16, 1 · 256, 33, 1 · 4096, 817, 51, 1 … row sums 1, 17, 290, 4965, 85327, 1472228, …
  (−∞, 0] nonnegative
• A196347 → basis A008277
  1 · 2, 1 · 8, 10, 2 · 48, 114, 54, 6 … row sums 1, 3, 20, 222, 3624, 80880, 2349360, …
  (−∞, 0] nonnegative
• A108838 → basis A008277
  2 · 5, 2 · 14, 14, 2 · 42, 79, 27, 2 … row sums 2, 7, 30, 150, 850, 5348, 36790, …
  (−∞, 0] nonnegative
• A317496 → basis A008277
  1 · 1 · 1 · 4, 3 … row sums 1, 1, 1, 7, 13, 19, 70, 166, …
  (−∞, 0] nonnegative
• A091044 → basis A008277
  1 · 4, 2 · 16, 19, 3 · 64, 140, 52, 4 … row sums 1, 6, 38, 260, 1915, 15084, 126253, …
  (−∞, 0] nonnegative
• A290319 → basis A008277
  1 · 2, 1 · 12, 9, 1 · 120, 111, 21, 1 … row sums 1, 3, 22, 253, 3951, 77866, 1851943, …
  (−∞, 0] nonnegative
• A085880 → basis A008277
  1 · 2, 1 · 8, 10, 2 · 40, 95, 45, 5 … row sums 1, 3, 20, 185, 2114, 28308, 430716, …
  (−∞, 0] nonnegative
• A028338 → basis A008277
  1 · 2, 1 · 8, 7, 1 · 48, 57, 15, 1 … row sums 1, 3, 16, 121, 1179, 14026, 196783, …
  (−∞, 0] nonnegative
• A038281 → basis A008277
  121, 75, 9 · 1331, 1413, 378, 27 … row sums 205, 3149, 50836, 863057, 15404437, …
  (−∞, 0] nonnegative
• A207823 → basis A008277
  1 · 5, 1 · 24, 11, 1 · 115, 89, 18, 1 … row sums 1, 6, 36, 223, 1430, 9505, 65534, …
  (−∞, 0] nonnegative
• A161198 → basis A008277
  1 · 3, 2 · 15, 20, 4 · 105, 210, 84, 8 … row sums 1, 5, 39, 407, 5281, 81597, 1459015, …
  (−∞, 0] nonnegative
• A272866 → basis A008277
  1 · 5, 6, 1 · 25, 96, 72, 16, 1 … row sums 1, 12, 210, 5108, 163540, 6612400, …
  (−∞, 0] nonnegative
• A038337 → basis A008277
  529, 627, 121 · 12167, 27137, 12342, 1331 … row sums 1277, 52977, 2415172, 120107065, …
  (−∞, 0] nonnegative
• A038324 → basis A008277
  1 · 21, 10 · 441, 520, 100 · 9261, 20530, 9300, 1000 … row sums 1, 31, 1061, 40091, 1664121, 75330151, …
  (−∞, 0] nonnegative
• A200536 → basis A008277
  1 · 6, 9, 2 · 36, 189, 185, 52, 4 … row sums 1, 17, 466, 18885, 1046095, 75051180, …
  (−∞, 0] nonnegative
• A048993: Triangle of Stirling numbers of 2nd kind, S(n,k), n >= 0, 0 <= k <= n.
  A106800 → reverse (shift +1)
  1 · 0, 1 · 0, 1, 1 · 0, 1, 3, 1 … row sums 1, 1, 2, 5, 15, 52, 203, 877, …
  A048993 (−∞, 0] nonnegative
• A013611 → basis A008277
  1 · 5, 4 · 25, 56, 16 · 125, 604, 432, 64 … row sums 1, 9, 97, 1225, 17665, 284873, 5059553, …
  (−∞, 0] nonnegative
• A078812 → basis A008277
  1 · 3, 1 · 8, 7, 1 · 21, 35, 12, 1 … row sums 1, 4, 16, 69, 322, 1619, 8722, 50078, …
  (−∞, 0] nonnegative
• A038303 → basis A008277
  1 · 11, 1 · 121, 23, 1 · 1331, 397, 36, 1 … row sums 1, 12, 145, 1765, 21652, 267803, …
  (−∞, 0] nonnegative
• A013610 → basis A008277
  1 · 4, 3 · 16, 33, 9 · 64, 279, 189, 27 … row sums 1, 7, 58, 559, 6127, 74920, 1007299, …
  (−∞, 0] nonnegative
• A154233 → basis A008277
  1 · 2, 1 · 9, 10, 1 · 40, 83, 25, 1 … row sums 1, 3, 20, 149, 1571, 19150, 290081, …
  (−∞, 0] nonnegative
• A204420 → basis A008277
  1 · 1, 1 · 9, 15, 3 · 225, 495, 180, 15 … row sums 1, 2, 27, 915, 57540, 5774895, …
  (−∞, 0] nonnegative
• A064861 → basis A008277
  6, 9, 2 · 18, 57, 32, 4 · 36, 189, 185, 52, 4 … row sums 17, 111, 466, 3792, 18885, 182701, …
  (−∞, 0] nonnegative
• A038329 → basis A008277
  225, 99, 9 · 3375, 2457, 486, 27 … row sums 333, 6345, 124740, 2533761, 53226477, …
  (−∞, 0] nonnegative
• A079638 → basis A008277
  1 · 4, 1 · 24, 12, 1 · 192, 144, 24, 1 … row sums 1, 5, 37, 361, 4361, 62701, 1044205, …
  (−∞, 0] nonnegative
• A139548 → basis A008277
  1 · 8, 10, 2 · 64, 260, 220, 56, 4 … row sums 1, 20, 604, 26104, 1517248, 113120864, …
  (−∞, 0] nonnegative
• A249251 → basis A008277
  1 · 4, 3 · 13, 24, 6 · 43, 156, 93, 12 … row sums 1, 7, 43, 304, 2398, 20842, 197377, …
  (−∞, 0] nonnegative