basis_map / A013609

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

210 sequences

• A085841 → basis A013609
  1 · 7, 8 · 61, 144, 64 · 547, 2008, 2112, 512 … row sums 1, 15, 269, 5179, 102105, 2028071, …
  (−∞, 0] nonnegative
• A207824 → basis A013609
  1 · 6, 2 · 35, 24, 4 · 204, 212, 72, 8 … row sums 1, 8, 63, 496, 3905, 30744, 242047, …
  (−∞, 0] nonnegative
• A038326 → basis A013609
  1 · 23, 24 · 529, 1104, 576 … row sums 1, 47, 2209, 103823, 4879681, …
  (−∞, 0] nonnegative rational roots
• A091044 → basis A013609
  1 · 4, 4 · 16, 32, 12 · 64, 192, 160, 32 … row sums 1, 8, 60, 448, 3344, 24960, 186304, …
  (−∞, 0] nonnegative
• A154986 → basis A013609
  1 · 2, 2 · 6, 12, 4 · 24, 72, 56, 8 … row sums 1, 4, 22, 160, 1432, 15328, 190192, …
  (−∞, 0] nonnegative
• A102662 → basis A013609
  1 · 4, 6 · 9, 22, 12 · 22, 76, 80, 24 … row sums 1, 10, 43, 202, 937, 4354, 20227, …
  (−∞, 0] nonnegative
• A038220 → basis A007318
  1 · 5, 2 · 25, 20, 4 · 125, 150, 60, 8 … row sums 1, 7, 49, 343, 2401, 16807, 117649, …
  (−∞, −1] nonnegative rational roots
• A152830 → basis A013609
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 4, 4, 4, 4, …
  (−∞, 0] nonnegative rational roots
• A136572 → basis A013609
  1 · 1, 2 · 2, 8, 8 · 6, 36, 72, 48 … row sums 1, 3, 18, 162, 1944, 29160, 524880, …
  (−∞, 0] nonnegative rational roots
• A013618 → basis A013609
  144, 528, 484 · 1728, 9504, 17424, 10648 … row sums 1156, 39304, 1336336, 45435424, …
  (−∞, 0] nonnegative rational roots
• A159854 → basis A013609
  1, 4, 4 · 2, 10, 16, 8 · 4, 24, 52, 48, 16 … row sums 9, 36, 144, 576, 2304, 9216, 36864, …
  (−∞, 0] nonnegative rational roots
• A111125 → basis A013609
  1 · 4, 2 · 11, 14, 4 · 29, 62, 40, 8 … row sums 1, 6, 29, 139, 666, 3191, 15289, 73254, …
  (−∞, 0] nonnegative
• A035607 → basis A013609
  1 · 1 · 3, 4 · 7, 16, 8 … row sums 1, 1, 7, 31, 145, 673, 3127, 14527, …
  (−∞, 0] nonnegative
• A130123 → basis A013609
  1 · 2, 4 · 4, 16, 16 · 8, 48, 96, 64 … row sums 1, 6, 36, 216, 1296, 7776, 46656, …
  (−∞, 0] nonnegative rational roots
• A122431 → basis A013609
  8, 24, 24, 8 · 8, 40, 72, 56, 16 … row sums 64, 192, 576, 1728, 5184, 15552, 46656, …
  (−∞, 0] nonnegative rational roots
• A317496 → basis A013609
  1 · 1 · 1 · 4, 6 … row sums 1, 1, 1, 10, 19, 28, 118, 289, …
  (−∞, 0] nonnegative
• A120910 → basis A013611
  3 · 9, 12 · 27, 72, 48 · 81, 324, 432, 192 … row sums 3, 21, 147, 1029, 7203, 50421, 352947, …
  (−∞, 0] nonnegative rational roots
• A008288 → basis A013609
  1 · 2, 2 · 5, 10, 4 · 12, 36, 32, 8 … row sums 1, 4, 19, 88, 409, 1900, 8827, 41008, …
  (−∞, 0] nonnegative
• A114656 → basis A013609
  1 · 3, 2 · 11, 16, 4 · 45, 102, 60, 8 … row sums 1, 5, 31, 215, 1597, 12425, 99955, …
  (−∞, 0] nonnegative
• A038329 → basis A013609
  225, 180, 36 · 3375, 4050, 1620, 216 … row sums 441, 9261, 194481, 4084101, 85766121, …
  (−∞, 0] nonnegative rational roots
• A207823 → basis A013609
  1 · 5, 2 · 24, 20, 4 · 115, 146, 60, 8 … row sums 1, 7, 48, 329, 2255, 15456, 105937, …
  (−∞, 0] nonnegative
• A038208 → basis A013610
  1 · 4, 6 · 16, 48, 36 · 64, 288, 432, 216 … row sums 1, 10, 100, 1000, 10000, 100000, …
  (−∞, 0] nonnegative rational roots
• A038271 → basis A013609
  1 · 12, 10 · 144, 240, 100 · 1728, 4320, 3600, 1000 … row sums 1, 22, 484, 10648, 234256, 5153632, …
  (−∞, 0] nonnegative rational roots
• A091042 → basis A013609
  1 · 4, 6 · 16, 40, 20 · 64, 224, 224, 56 … row sums 1, 10, 76, 568, 4240, 31648, 236224, …
  (−∞, 0] nonnegative
• A178821 → basis A013609
  1 · 10, 10 · 60, 120, 60 · 280, 840, 840, 280 … row sums 1, 20, 240, 2240, 17920, 129024, …
  (−∞, 0] nonnegative rational roots
• A130534 → basis A013611
  1 · 2, 4 · 6, 20, 16 · 24, 104, 144, 64 … row sums 1, 6, 42, 336, 3024, 30240, 332640, …
  (−∞, 0] nonnegative rational roots
• A038321 → basis A013609
  324, 504, 196 · 5832, 13608, 10584, 2744 … row sums 1024, 32768, 1048576, 33554432, …
  (−∞, 0] nonnegative rational roots
• A113953 → basis A013609
  1 · 1, 2 · 3, 8, 4 · 5, 22, 28, 8 … row sums 1, 3, 15, 63, 279, 1215, 5319, 23247, …
  (−∞, 0] nonnegative
• A099040 → basis A013609
  1 · 2, 4 · 6, 20, 16 · 16, 80, 128, 64 … row sums 1, 6, 42, 288, 1980, 13608, 93528, …
  (−∞, 0] nonnegative
• A143491 → basis A013609
  12, 14, 4 · 60, 94, 48, 8 · 360, 684, 476, 144, 16 … row sums 30, 210, 1680, 15120, 151200, 1663200, …
  (−∞, 0] nonnegative rational roots
• A001263 → basis A013609
  1 · 2, 2 · 5, 10, 4 · 14, 42, 36, 8 … row sums 1, 4, 19, 100, 562, 3304, 20071, …
  (−∞, 0] nonnegative
• basis-map coefficients of A297191, shifted → basis A013609
  1 · 1, 4, 4 · 1, 8, 24, 32, 16 … row sums 1, 9, 81, 729, 6561, 59049, 531441, …
  (−∞, 0] nonnegative rational roots
• A249248 → basis A013609
  1 · 4, 6 · 11, 26, 12 · 38, 130, 124, 24 … row sums 1, 10, 49, 316, 1999, 13684, 96715, …
  (−∞, 0] nonnegative
• A104684 → basis A013609
  1 · 3, 2 · 13, 16, 4 · 63, 114, 60, 8 … row sums 1, 5, 33, 245, 1921, 15525, 127905, …
  (−∞, 0] nonnegative
• A274498 → basis A013609
  1 · 3 · 9, 12 · 27, 36 … row sums 1, 3, 21, 63, 441, 1323, 9261, 27783, …
  (−∞, 0] nonnegative rational roots
• A128813 → basis A013609
  1 · 2, 2 · 8, 20, 12 · 56, 236, 324, 144 … row sums 1, 4, 40, 760, 23560, 1083760, …
  (−∞, 0] nonnegative rational roots
• A099097 → basis A013609
  1 · 3, 6 · 10, 38, 36 · 33, 186, 348, 216 … row sums 1, 9, 84, 783, 7299, 68040, 634257, …
  (−∞, 0] nonnegative
• A038291 → basis A013609
  1 · 10, 2 · 100, 40, 4 · 1000, 600, 120, 8 … row sums 1, 12, 144, 1728, 20736, 248832, …
  (−∞, 0] nonnegative rational roots
• A038333 → basis A013609
  361, 532, 196 · 6859, 15162, 11172, 2744 … row sums 1089, 35937, 1185921, 39135393, …
  (−∞, 0] nonnegative rational roots
• A327997 → basis A013609
  1 · 4, 2 · 17, 18, 4 · 78, 130, 60, 8 … row sums 1, 6, 39, 276, 2133, 18018, 166203, …
  (−∞, 0] nonnegative
• A028326 → basis A013609
  2 · 4, 4 · 8, 16, 8 · 16, 48, 48, 16 … row sums 2, 8, 32, 128, 512, 2048, 8192, 32768, …
  (−∞, 0] nonnegative rational roots
• A094638 → basis A013609
  1 · 2, 2 · 6, 14, 8 · 24, 92, 116, 48 … row sums 1, 4, 28, 280, 3640, 58240, 1106560, …
  (−∞, 0] nonnegative rational roots
• A358735 → basis A013609
  1 · 2, 2 · 7, 16, 8 · 33, 120, 136, 48 … row sums 1, 4, 31, 337, 4687, 79342, 1582153, …
  (−∞, 0] nonnegative
• A161198 → basis A013609
  1 · 3, 4 · 15, 32, 16 · 105, 284, 240, 64 … row sums 1, 7, 63, 693, 9009, 135135, 2297295, …
  (−∞, 0] nonnegative rational roots
• A038331 → basis A013609
  289, 340, 100 · 4913, 8670, 5100, 1000 … row sums 729, 19683, 531441, 14348907, …
  (−∞, 0] nonnegative rational roots
• A133087 → basis A013609
  1 · 3, 2 · 4, 8, 4 · 12, 32, 28, 8 … row sums 1, 5, 16, 80, 256, 1280, 4096, 20480, …
  (−∞, 0] nonnegative rational roots
• A038255 → basis A013609
  1 · 7, 2 · 49, 28, 4 · 343, 294, 84, 8 … row sums 1, 9, 81, 729, 6561, 59049, 531441, …
  (−∞, 0] nonnegative rational roots
• A100861 → basis A013609
  1 · 1 · 2, 2 · 4, 6 … row sums 1, 1, 4, 10, 46, 166, 856, 3844, …
  (−∞, 0] nonnegative
• A154227 → basis A013609
  1 · 2, 2 · 10, 20, 4 · 40, 120, 88, 8 … row sums 1, 4, 34, 256, 2554, 26344, 319912, …
  (−∞, 0] nonnegative
• A108838 → basis A013609
  2 · 5, 4 · 14, 24, 8 · 42, 112, 84, 16 … row sums 2, 9, 46, 254, 1476, 8893, 55046, …
  (−∞, 0] nonnegative