basis_map / A013611

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

210 sequences

• A154233 → basis A013611
  1 · 2, 4 · 9, 36, 16 · 40, 240, 352, 64 … row sums 1, 6, 61, 696, 9971, 160746, 3008531, …
  (−∞, 0] nonnegative
• A178820 → basis A013611
  1 · 8, 16 · 40, 160, 160 · 160, 960, 1920, 1280 … row sums 1, 24, 360, 4320, 45360, 435456, …
  (−∞, 0] nonnegative rational roots
• A318772 → basis A013611
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 16, 31, 46, 61, …
  (−∞, 0] nonnegative
• A304236 → basis A013611
  1 · 1 · 4, 12 · 7, 24 … row sums 1, 1, 16, 31, 271, 736, 4801, 15841, …
  (−∞, 0] nonnegative
• A317496 → basis A013611
  1 · 1 · 1 · 4, 12 … row sums 1, 1, 1, 16, 31, 46, 286, 751, …
  (−∞, 0] nonnegative
• basis-map coefficients of A026729, shifted → basis A013611
  1 · -1, -4 · 1, 8, 16 · -1, -12, -48, -64 … row sums 1, -5, 25, -125, 625, -3125, 15625, …
  (−∞, 0] rational roots
• A013620 → basis A013611
  1 · 5, 12 · 25, 120, 144 · 125, 900, 2160, 1728 … row sums 1, 17, 289, 4913, 83521, 1419857, …
  (−∞, 0] nonnegative rational roots
• A225470 → basis A013611
  1 · 3, 4 · 18, 36, 16 · 162, 396, 288, 64 … row sums 1, 7, 70, 910, 14560, 276640, 6086080, …
  (−∞, 0] nonnegative rational roots
• A286718 → basis A013611
  1 · 2, 4 · 10, 28, 16 · 80, 264, 240, 64 … row sums 1, 6, 54, 648, 9720, 174960, 3674160, …
  (−∞, 0] nonnegative rational roots
• A272867 → basis A013611
  1 · 6, 24, 16 · 36, 288, 768, 768, 256 … row sums 1, 46, 2116, 97336, 4477456, 205962976, …
  (−∞, 0] nonnegative
• A113214 → basis A013611
  1 · 3, 4 · 4, 20, 16 · 7, 52, 112, 64 … row sums 1, 7, 40, 235, 1375, 8050, 47125, …
  (−∞, 0] nonnegative
• A086645 → basis A013611
  1 · 2, 4 · 8, 32, 16 · 32, 192, 288, 64 … row sums 1, 6, 56, 576, 6016, 62976, 659456, …
  (−∞, 0] nonnegative
• A136124 → basis A013611
  1 · 3, 4 · 12, 28, 16 · 60, 188, 192, 64 … row sums 1, 7, 56, 504, 5040, 55440, 665280, …
  (−∞, 0] nonnegative rational roots
• A013622 → basis A013611
  1 · 8, 20 · 64, 320, 400 · 512, 3840, 9600, 8000 … row sums 1, 28, 784, 21952, 614656, 17210368, …
  (−∞, 0] nonnegative rational roots
• A159854 → basis A013611
  1, 8, 16 · 2, 20, 64, 64 · 4, 48, 208, 384, 256 … row sums 25, 150, 900, 5400, 32400, 194400, …
  (−∞, 0] nonnegative rational roots
• basis-map coefficients of A030528, shifted → basis A013611
  1 · -1, -4 · 1, 8, 16 · -1, -12, -48, -64 … row sums 1, -5, 25, -125, 625, -3125, 15625, …
  (−∞, 0] rational roots
• A249250 → basis A013611
  1 · 4, 12 · 10, 48, 48 · 28, 192, 384, 192 … row sums 1, 16, 106, 796, 5836, 42976, 316216, …
  (−∞, 0] nonnegative
• A099040 → basis A013611
  1 · 2, 8 · 6, 40, 64 · 16, 160, 512, 512 … row sums 1, 10, 110, 1200, 13100, 143000, …
  (−∞, 0] nonnegative
• A136572 → basis A013611
  1 · 1, 4 · 2, 16, 32 · 6, 72, 288, 384 … row sums 1, 5, 50, 750, 15000, 375000, 11250000, …
  (−∞, 0] nonnegative rational roots
• A143685 → basis A013611
  1 · 2, 4 · 13, 52, 16 · 44, 264, 384, 64 … row sums 1, 6, 81, 756, 8181, 83106, 866781, …
  (−∞, 0] nonnegative
• A152842 → basis A013611
  1 · 4, 12 · 8, 40, 48 · 32, 256, 672, 576 … row sums 1, 16, 96, 1536, 9216, 147456, 884736, …
  (−∞, 0] nonnegative rational roots
• A188440 → basis A013611
  1 · 1 · 3, 8 · 3, 8 … row sums 1, 1, 11, 11, 121, 121, 1331, 1331, …
  (−∞, 0] nonnegative rational roots
• A038291 → basis A013611
  1 · 10, 4 · 100, 80, 16 · 1000, 1200, 480, 64 … row sums 1, 14, 196, 2744, 38416, 537824, …
  (−∞, 0] nonnegative rational roots
• A038328 → basis A013611
  196, 224, 64 · 2744, 4704, 2688, 512 … row sums 484, 10648, 234256, 5153632, 113379904, …
  (−∞, 0] nonnegative rational roots
• A114687 → basis A013611
  1 · 3, 8 · 11, 56, 64 · 45, 336, 768, 512 … row sums 1, 11, 131, 1661, 22101, 305151, …
  (−∞, 0] nonnegative
• A135838 → basis A013611
  1 · 4, 8 · 8, 32, 32 · 32, 192, 384, 256 … row sums 1, 12, 72, 864, 5184, 62208, 373248, …
  (−∞, 0] nonnegative rational roots
• A011973 → x ↦ x+2 (shift +1) → basis A013611
  1 · 4, 4 · 7, 8 · 19, 36, 16 … row sums 1, 8, 15, 71, 176, 673, 1905, 6616, …
  (−∞, 0] nonnegative
• A358735 → basis A013611
  1 · 2, 4 · 7, 32, 32 · 33, 240, 544, 384 … row sums 1, 6, 71, 1201, 26351, 710276, …
  (−∞, 0] nonnegative
• A081582 → basis A013611
  1 · 2, 4 · 11, 44, 16 · 36, 216, 320, 64 … row sums 1, 6, 71, 636, 6301, 60066, 580931, …
  (−∞, 0] nonnegative
• A038319 → basis A013611
  256, 640, 400 · 4096, 15360, 19200, 8000 … row sums 1296, 46656, 1679616, 60466176, …
  (−∞, 0] nonnegative rational roots
• A327997 → basis A013611
  1 · 4, 4 · 17, 36, 16 · 78, 260, 240, 64 … row sums 1, 8, 69, 642, 6441, 69588, 808029, …
  (−∞, 0] nonnegative
• A038322 → basis A013611
  1 · 19, 32 · 361, 1216, 1024 … row sums 1, 51, 2601, 132651, 6765201, …
  (−∞, 0] nonnegative rational roots
• A152830 → basis A013611
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 6, 6, 6, 6, …
  (−∞, 0] nonnegative rational roots
• A038325 → basis A013611
  1 · 22, 44 · 484, 1936, 1936 … row sums 1, 66, 4356, 287496, 18974736, …
  (−∞, 0] nonnegative rational roots
• A274496 → basis A013611
  1 · 2 · 4, 8 · 8, 16 … row sums 1, 2, 12, 24, 144, 288, 1728, 3456, …
  (−∞, 0] nonnegative rational roots
• A038314 → basis A013611
  484, 2112, 2304 · 10648, 69696, 152064, 110592 … row sums 4900, 343000, 24010000, 1680700000, …
  (−∞, 0] nonnegative rational roots
• A013609 → basis A013611
  1 · 3, 8 · 9, 48, 64 · 27, 216, 576, 512 … row sums 1, 11, 121, 1331, 14641, 161051, …
  (−∞, 0] nonnegative rational roots
• A128099 → basis A013609
  1 · 1 · 3, 4 · 5, 8 … row sums 1, 1, 7, 13, 55, 133, 463, 1261, …
  (−∞, 0] nonnegative
• A026374 → basis A013611
  1 · 2, 4 · 5, 20, 16 · 10, 60, 112, 64 … row sums 1, 6, 41, 246, 1681, 10086, 68921, …
  (−∞, 0] nonnegative
• A063007 → basis A013611
  1 · 3, 8 · 13, 72, 96 · 63, 528, 1440, 1280 … row sums 1, 11, 181, 3311, 63601, 1256651, …
  (−∞, 0] nonnegative
• A165253 → basis A013611
  1 · 1 · 2, 4 · 5, 20, 16 … row sums 1, 1, 6, 41, 281, 1926, 13201, 90481, …
  (−∞, 0] nonnegative
• A207824 → basis A013611
  1 · 6, 4 · 35, 48, 16 · 204, 424, 288, 64 … row sums 1, 10, 99, 980, 9701, 96030, 950599, …
  (−∞, 0] nonnegative
• A013612 → basis A013611
  36, 240, 400 · 216, 2160, 7200, 8000 … row sums 676, 17576, 456976, 11881376, …
  (−∞, 0] nonnegative rational roots
• A154986 → basis A013611
  1 · 2, 4 · 6, 24, 16 · 24, 144, 224, 64 … row sums 1, 6, 46, 456, 5496, 78576, 1295856, …
  (−∞, 0] nonnegative
• A028326 → basis A013611
  2 · 4, 8 · 8, 32, 32 · 16, 96, 192, 128 … row sums 2, 12, 72, 432, 2592, 15552, 93312, …
  (−∞, 0] nonnegative rational roots
• A099097 → basis A013611
  1 · 3, 12 · 10, 76, 144 · 33, 372, 1392, 1728 … row sums 1, 15, 230, 3525, 54025, 828000, …
  (−∞, 0] nonnegative
• A178822 → basis A013611
  1 · 12, 24 · 84, 336, 336 · 448, 2688, 5376, 3584 … row sums 1, 36, 756, 12096, 163296, 1959552, …
  (−∞, 0] nonnegative rational roots
• A038226 → basis A013611
  121, 704, 1024 · 1331, 11616, 33792, 32768 … row sums 1849, 79507, 3418801, 147008443, …
  (−∞, 0] nonnegative rational roots
• A081577 → basis A013611
  1 · 2, 4 · 6, 24, 16 · 16, 96, 160, 64 … row sums 1, 6, 46, 336, 2476, 18216, 134056, …
  (−∞, 0] nonnegative
• A038255 → basis A013611
  1 · 7, 4 · 49, 56, 16 · 343, 588, 336, 64 … row sums 1, 11, 121, 1331, 14641, 161051, …
  (−∞, 0] nonnegative rational roots