basis_map / A008277

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

212 sequences

• A001263 → basis A008277
  1 · 2, 1 · 5, 6, 1 · 14, 31, 12, 1 … row sums 1, 3, 12, 58, 323, 2014, 13793, 102351, …
  (−∞, 0] nonnegative
• A054142 → basis A008277
  1 · 2, 1 · 5, 6, 1 · 13, 30, 12, 1 … row sums 1, 3, 12, 56, 292, 1667, 10288, 68026, …
  (−∞, 0] nonnegative
• A304236 → basis A008277
  1 · 1 · 4, 3 · 7, 6 … row sums 1, 1, 7, 13, 64, 160, 706, 2107, …
  (−∞, 0] nonnegative
• A103633 → basis A008277
  1 · 1, 1 · 2, 4, 1 · 2, 10, 7, 1 … row sums 1, 2, 7, 20, 87, 322, 1657, 7432, …
  (−∞, 0] nonnegative
• A123519 → basis A008277
  11, 18, 4 · 41, 128, 68, 8 · 153, 832, 796, 216, 16 … row sums 33, 245, 2013, 18105, 176589, 1853433, …
  (−∞, 0] nonnegative
• A085841 → basis A008277
  1 · 7, 4 · 61, 88, 16 · 547, 1596, 720, 64 … row sums 1, 11, 165, 2927, 58633, 1295123, …
  (−∞, 0] nonnegative
• A118931 → basis A008277
  1 · 1 · 1 · 3, 2 … row sums 1, 1, 1, 5, 17, 41, 281, 1541, …
  (−∞, 0] nonnegative
• A035607 → basis A008277
  1 · 1 · 3, 2 · 7, 10, 2 … row sums 1, 1, 5, 19, 83, 391, 1989, 10841, …
  (−∞, 0] nonnegative
• A318772 → basis A008277
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 7, 13, 19, 25, …
  (−∞, 0] nonnegative
• A038305 → basis A008277
  169, 87, 9 · 2197, 1899, 432, 27 … row sums 265, 4555, 81412, 1514929, 29367073, …
  (−∞, 0] nonnegative
• A038323 → basis A008277
  1 · 20, 9 · 400, 441, 81 · 8000, 16389, 7047, 729 … row sums 1, 29, 922, 32165, 1226815, 50852048, …
  (−∞, 0] nonnegative
• A038208 → basis A008277
  1 · 4, 2 · 16, 20, 4 · 64, 152, 72, 8 … row sums 1, 6, 40, 296, 2416, 21568, 208832, …
  (−∞, 0] nonnegative
• A059364 → basis A008277
  1 · 3, 1 · 15, 13, 2 · 105, 175, 65, 6 … row sums 1, 4, 30, 351, 5855, 131475, 3812529, …
  (−∞, 0] nonnegative
• A207607 → basis A008277
  1 · 3, 2 · 8, 11, 2 · 21, 50, 21, 2 … row sums 1, 5, 21, 94, 453, 2341, 12909, 75609, …
  (−∞, 0] nonnegative
• A008955 → basis A008277
  1 · 2, 1 · 10, 17, 4 · 100, 413, 265, 36 … row sums 1, 3, 31, 814, 43678, 4139053, …
  (−∞, 0] nonnegative
• A132393 → basis A008277
  1 · 1, 1 · 2, 4, 1 · 6, 18, 9, 1 … row sums 1, 2, 7, 34, 209, 1546, 13327, 130922, …
  (−∞, 0] nonnegative
• A038333 → basis A008277
  361, 315, 49 · 6859, 10717, 3822, 343 … row sums 725, 21741, 700996, 24245693, …
  (−∞, 0] nonnegative
• A299989 → basis A008277
  1, 1 · 8, 22, 10, 1 · 64, 386, 446, 167, 23, 1 … row sums 2, 41, 1087, 36466, 1511407, 75738861, …
  (−∞, 0] nonnegative
• A249250 → basis A008277
  1 · 4, 3 · 10, 15, 3 · 28, 75, 33, 3 … row sums 1, 7, 28, 139, 721, 4036, 24031, …
  (−∞, 0] nonnegative
• A086645 → basis A008277
  1 · 2, 1 · 8, 9, 1 · 32, 67, 21, 1 … row sums 1, 3, 18, 121, 879, 6834, 56483, …
  (−∞, 0] nonnegative
• A286718 → basis A008277
  1 · 2, 1 · 10, 8, 1 · 80, 82, 18, 1 … row sums 1, 3, 19, 181, 2293, 36191, 683303, …
  (−∞, 0] nonnegative
• A102547 → x ↦ (1/27)x → basis A008277
  1 · 3 · 9 · 28, 1 … row sums 1, 3, 9, 29, 93, 297, 950, 3042, …
  (−∞, 0] nonnegative
• A274498 → basis A008277
  1 · 3 · 9, 6 · 27, 18 … row sums 1, 3, 15, 45, 261, 783, 5211, 15633, …
  (−∞, 0] nonnegative
• A094638 → basis A008277
  1 · 2, 1 · 6, 9, 2 · 24, 81, 47, 6 … row sums 1, 3, 17, 158, 2194, 42439, 1085923, …
  (−∞, 0] nonnegative
• A130123 → basis A008277
  1 · 2, 2 · 4, 12, 4 · 8, 56, 48, 8 … row sums 1, 4, 20, 120, 832, 6496, 56128, …
  (−∞, 0] nonnegative
• delannoy → basis A008277
  1 · 2, 1 · 5, 6, 1 · 12, 27, 11, 1 … row sums 1, 3, 12, 51, 237, 1190, 6415, 36899, …
  (−∞, 0] nonnegative
• A169803 → basis A008277
  1 · 2, 1 · 3, 2 · 5, 6, 1 … row sums 1, 3, 5, 12, 24, 56, 123, 292, …
  (−∞, 0] nonnegative
• A102662 → basis A008277
  1 · 4, 3 · 9, 14, 3 · 22, 61, 29, 3 … row sums 1, 7, 26, 115, 545, 2788, 15267, 89015, …
  (−∞, 0] nonnegative
• A088996 → basis A008277
  1 · 1, 1 · 3, 7, 2 · 15, 65, 43, 6 … row sums 1, 2, 12, 129, 2095, 47025, 1380141, …
  (−∞, 0] nonnegative
• A038335 → basis A008277
  1 · 21, 9 · 441, 459, 81 · 9261, 17739, 7290, 729 … row sums 1, 30, 981, 35019, 1361124, 57317139, …
  (−∞, 0] nonnegative
• A104684 → basis A008277
  1 · 3, 1 · 13, 9, 1 · 63, 73, 18, 1 … row sums 1, 4, 23, 155, 1152, 9225, 78661, …
  (−∞, 0] nonnegative
• A143685 → basis A008277
  1 · 2, 1 · 13, 14, 1 · 44, 91, 27, 1 … row sums 1, 3, 28, 163, 1285, 9638, 80015, …
  (−∞, 0] nonnegative
• A159854 → basis A008277
  1, 3, 1 · 2, 10, 7, 1 · 4, 32, 38, 12, 1 … row sums 5, 20, 87, 409, 2066, 11155, 64077, …
  (−∞, 0] nonnegative
• A059344 → basis A008277
  1 · 1 · 3, 2 · 7, 6 … row sums 1, 1, 5, 13, 85, 341, 2761, 14785, …
  (−∞, 0] nonnegative
• A038221 → basis A008277
  1 · 6, 3 · 36, 45, 9 · 216, 513, 243, 27 … row sums 1, 9, 90, 999, 12231, 163782, 2378727, …
  (−∞, 0] nonnegative
• A152842 → basis A008277
  1 · 4, 3 · 8, 13, 3 · 32, 115, 69, 9 … row sums 1, 7, 24, 225, 955, 11296, 56845, …
  (−∞, 0] nonnegative
• A133087 → basis A008277
  1 · 3, 1 · 4, 5, 1 · 12, 24, 10, 1 … row sums 1, 4, 10, 47, 151, 825, 3263, 20270, …
  (−∞, 0] nonnegative
• A102547 → basis A008277
  1 · 1 · 1 · 2, 1 … row sums 1, 1, 1, 3, 5, 7, 14, 26, …
  (−∞, 0] nonnegative
• A152828 → basis A008277
  1 · 1 · 1 · 2, 1 … row sums 1, 1, 1, 3, 3, 3, 10, 10, …
  (−∞, 0] nonnegative
• A038259 → basis A008277
  1 · 11, 5 · 121, 135, 25 · 1331, 2765, 1200, 125 … row sums 1, 16, 281, 5421, 114436, 2626951, …
  (−∞, 0] nonnegative
• A052553 → basis A008277
  1 · 1 · 2, 1 · 3, 2 … row sums 1, 1, 3, 5, 12, 24, 56, 123, …
  (−∞, 0] nonnegative
• basis-map coefficients of A113214, shifted → basis A008277
  1 · -2, -1 · 4, 5, 1 · -8, -19, -9, -1 … row sums 1, -3, 10, -37, 151, -674, 3263, …
  (−∞, 0]
• A225470 → basis A008277
  1 · 3, 1 · 18, 10, 1 · 162, 118, 21, 1 … row sums 1, 4, 29, 302, 4089, 68056, 1342949, …
  (−∞, 0] nonnegative
• A249248 → basis A008277
  1 · 4, 3 · 11, 16, 3 · 38, 99, 40, 3 … row sums 1, 7, 30, 180, 1138, 8242, 65012, …
  (−∞, 0] nonnegative
• A038336 → basis A008277
  484, 540, 100 · 10648, 22120, 9600, 1000 … row sums 1124, 43368, 1830976, 84062432, …
  (−∞, 0] nonnegative
• A013618 → basis A008277
  144, 385, 121 · 1728, 10439, 8349, 1331 … row sums 650, 21847, 844911, 36705824, …
  (−∞, 0] nonnegative
• A013609 → basis A008277
  1 · 3, 2 · 9, 16, 4 · 27, 98, 60, 8 … row sums 1, 5, 29, 193, 1449, 12077, 110309, …
  (−∞, 0] nonnegative
• narayana → basis A008277
  1 · 2, 1 · 5, 6, 1 · 14, 31, 12, 1 … row sums 1, 3, 12, 58, 323, 2014, 13793, 102351, …
  (−∞, 0] nonnegative
• A269944 → basis A008277
  1 · 1, 1 · 2, 4, 1 · 10, 26, 11, 1 … row sums 1, 2, 7, 48, 579, 11110, 314093, …
  (−∞, 0] nonnegative
• A391533 → basis A008277
  9, 7, 1 · 18, 30, 11, 1 · 36, 108, 74, 16, 1 … row sums 17, 60, 235, 1013, 4762, 24207, 132105, …
  (−∞, 0] nonnegative