basis_map / A013610

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

210 sequences

• A069466 → basis A013610
  1 · 4, 6 · 36, 108, 54 · 400, 1800, 2160, 540 … row sums 1, 10, 198, 4900, 134470, 3912300, …
  (−∞, 0] nonnegative
• A059344 → basis A013610
  1 · 1 · 3, 6 · 7, 18 … row sums 1, 1, 9, 25, 241, 1041, 10681, 60649, …
  (−∞, 0] nonnegative
• A038324 → basis A013610
  1 · 21, 30 · 441, 1260, 900 … row sums 1, 51, 2601, 132651, 6765201, …
  (−∞, 0] nonnegative rational roots
• A111125 → basis A013610
  1 · 4, 3 · 11, 21, 9 · 29, 93, 90, 27 … row sums 1, 7, 41, 239, 1393, 8119, 47321, …
  (−∞, 0] nonnegative
• A145597 → basis A013610
  1 · 6, 9 · 27, 81, 54 · 110, 495, 675, 270 … row sums 1, 15, 162, 1550, 14019, 123165, …
  (−∞, 0] nonnegative
• A013613 → basis A013610
  1 · 7, 18 · 49, 252, 324 · 343, 2646, 6804, 5832 … row sums 1, 25, 625, 15625, 390625, 9765625, …
  (−∞, 0] nonnegative rational roots
• A011973 → basis A007318 → basis A013610
  1 · 1 · 3, 3 · 5, 6 … row sums 1, 1, 6, 11, 41, 96, 301, 781, …
  (−∞, 0] nonnegative
• A169803 → basis A013610
  1 · 2, 3 · 3, 6 · 5, 15, 9 … row sums 1, 5, 9, 29, 65, 181, 441, 1165, …
  (−∞, 0] nonnegative
• A391533 → basis A013610
  9, 18, 9 · 18, 63, 72, 27 · 36, 180, 333, 270, 81 … row sums 36, 180, 900, 4500, 22500, 112500, …
  (−∞, 0] nonnegative rational roots
• basis-map coefficients of A112227 → basis A013610
  1, 6, 9 · 1, 9, 27, 27 · 1, 12, 54, 108, 81 … row sums 16, 64, 256, 1024, 4096, 16384, 65536, …
  (−∞, 0] nonnegative rational roots
• A118394 → basis A013610
  1 · 1 · 1 · 7, 18 … row sums 1, 1, 1, 25, 97, 241, 6241, 41161, …
  (−∞, 0] nonnegative
• A033282 → basis A013610
  1 · 3, 6 · 11, 45, 45 · 45, 279, 567, 378 … row sums 1, 9, 101, 1269, 17081, 240849, …
  (−∞, 0] nonnegative
• A367270 → basis A013610
  1 · 1 · 3, 6 · 10, 36, 27 … row sums 1, 1, 9, 73, 593, 4881, 40665, 342105, …
  (−∞, 0] nonnegative
• A152830 → basis A013610
  1 · 1 · 1 · 1 … row sums 1, 1, 1, 1, 5, 5, 5, 5, …
  (−∞, 0] nonnegative rational roots
• A116412 → basis A013610
  1 · 4, 3 · 13, 24, 9 · 43, 126, 108, 27 … row sums 1, 7, 46, 304, 2008, 13264, 87616, …
  (−∞, 0] nonnegative
• A038220 → basis A013610
  1 · 5, 6 · 25, 60, 36 · 125, 450, 540, 216 … row sums 1, 11, 121, 1331, 14641, 161051, …
  (−∞, 0] nonnegative rational roots
• A196347 → basis A013610
  1 · 2, 3 · 8, 24, 18 · 48, 216, 324, 162 … row sums 1, 5, 50, 750, 15000, 375000, 11250000, …
  (−∞, 0] nonnegative rational roots
• A038320 → basis A013610
  289, 612, 324 · 4913, 15606, 16524, 5832 … row sums 1225, 42875, 1500625, 52521875, …
  (−∞, 0] nonnegative rational roots
• A269947 → basis A013610
  1 · 1, 3 · 2, 9, 9 · 18, 87, 108, 27 … row sums 1, 4, 20, 240, 7440, 505920, 65263680, …
  (−∞, 0] nonnegative rational roots
• A272867 → basis A013610
  1 · 6, 18, 9 · 36, 216, 432, 324, 81 … row sums 1, 33, 1089, 35937, 1185921, 39135393, …
  (−∞, 0] nonnegative
• A154233 → basis A013610
  1 · 2, 3 · 9, 27, 9 · 40, 180, 198, 27 … row sums 1, 5, 45, 445, 5645, 79845, 1325005, …
  (−∞, 0] nonnegative
• A152842 → basis A013610
  1 · 4, 9 · 8, 30, 27 · 32, 192, 378, 243 … row sums 1, 13, 65, 845, 4225, 54925, 274625, …
  (−∞, 0] nonnegative rational roots
• A102547 → basis A013610
  1 · 1 · 1 · 2, 3 … row sums 1, 1, 1, 5, 9, 13, 33, 69, …
  (−∞, 0] nonnegative
• A130534 → basis A013610
  1 · 2, 3 · 6, 15, 9 · 24, 78, 81, 27 … row sums 1, 5, 30, 210, 1680, 15120, 151200, …
  (−∞, 0] nonnegative rational roots
• A099093 → basis A013610
  1 · 3, 9 · 12, 63, 81 · 45, 351, 891, 729 … row sums 1, 12, 156, 2016, 26064, 336960, …
  (−∞, 0] nonnegative
• A159854 → basis A013610
  1, 6, 9 · 2, 15, 36, 27 · 4, 36, 117, 162, 81 … row sums 16, 80, 400, 2000, 10000, 50000, …
  (−∞, 0] nonnegative rational roots
• A126216 → basis A013610
  1 · 3, 3 · 11, 21, 9 · 45, 126, 108, 27 … row sums 1, 6, 41, 306, 2426, 20076, 171481, …
  (−∞, 0] nonnegative
• A085880 → basis A013610
  1 · 2, 3 · 8, 24, 18 · 40, 180, 270, 135 … row sums 1, 5, 50, 625, 8750, 131250, 2062500, …
  (−∞, 0] nonnegative rational roots
• A081579 → basis A013610
  1 · 2, 3 · 8, 24, 9 · 24, 108, 126, 27 … row sums 1, 5, 41, 285, 2081, 14965, 108121, …
  (−∞, 0] nonnegative
• A038314 → basis A013610
  484, 1584, 1296 · 10648, 52272, 85536, 46656 … row sums 3364, 195112, 11316496, 656356768, …
  (−∞, 0] nonnegative rational roots
• A094638 → basis A013610
  1 · 2, 3 · 6, 21, 18 · 24, 138, 261, 162 … row sums 1, 5, 45, 585, 9945, 208845, 5221125, …
  (−∞, 0] nonnegative rational roots
• A130123 → basis A013610
  1 · 2, 6 · 4, 24, 36 · 8, 72, 216, 216 … row sums 1, 8, 64, 512, 4096, 32768, 262144, …
  (−∞, 0] nonnegative rational roots
• A038271 → basis A013610
  1 · 12, 15 · 144, 360, 225 · 1728, 6480, 8100, 3375 … row sums 1, 27, 729, 19683, 531441, 14348907, …
  (−∞, 0] nonnegative rational roots
• A113214 → basis A013610
  1 · 3, 3 · 4, 15, 9 · 7, 39, 63, 27 … row sums 1, 6, 28, 136, 656, 3168, 15296, 73856, …
  (−∞, 0] nonnegative
• A132393 → basis A013610
  1 · 1, 3 · 2, 9, 9 · 6, 33, 54, 27 … row sums 1, 4, 20, 120, 840, 6720, 60480, …
  (−∞, 0] nonnegative rational roots
• A038326 → basis A013610
  1 · 23, 36 · 529, 1656, 1296 … row sums 1, 59, 3481, 205379, 12117361, …
  (−∞, 0] nonnegative rational roots
• A028338 → basis A013610
  1 · 2, 3 · 8, 18, 9 · 48, 132, 108, 27 … row sums 1, 5, 35, 315, 3465, 45045, 675675, …
  (−∞, 0] nonnegative rational roots
• A207607 → basis A013610
  1 · 3, 6 · 8, 27, 18 · 21, 99, 135, 54 … row sums 1, 9, 53, 309, 1801, 10497, 61181, …
  (−∞, 0] nonnegative
• A143685 → basis A013610
  1 · 2, 3 · 13, 39, 9 · 44, 198, 216, 27 … row sums 1, 5, 61, 485, 4621, 40565, 369181, …
  (−∞, 0] nonnegative
• A100861 → basis A013610
  1 · 1 · 2, 3 · 4, 9 … row sums 1, 1, 5, 13, 73, 281, 1741, 8485, …
  (−∞, 0] nonnegative
• A038327 → basis A013610
  1 · 13, 3 · 169, 78, 9 · 2197, 1521, 351, 27 … row sums 1, 16, 256, 4096, 65536, 1048576, …
  (−∞, 0] nonnegative rational roots
• A059473 → basis A013610
  1 · 4, 6 · 18, 54, 36 · 80, 360, 504, 216 … row sums 1, 10, 108, 1160, 12464, 133920, …
  (−∞, 0] nonnegative
• A154227 → basis A013610
  1 · 2, 3 · 10, 30, 9 · 40, 180, 198, 27 … row sums 1, 5, 49, 445, 5165, 63205, 894505, …
  (−∞, 0] nonnegative
• A013610 → basis A007318
  1 · 4, 3 · 16, 24, 9 · 64, 144, 108, 27 … row sums 1, 7, 49, 343, 2401, 16807, 117649, …
  (−∞, −1] nonnegative rational roots
• A013618 → basis A013610
  144, 792, 1089 · 1728, 14256, 39204, 35937 … row sums 2025, 91125, 4100625, 184528125, …
  (−∞, 0] nonnegative rational roots
• basis-map coefficients of A297191, shifted → basis A013610
  1 · 1, 6, 9 · 1, 12, 54, 108, 81 … row sums 1, 16, 256, 4096, 65536, 1048576, …
  (−∞, 0] nonnegative rational roots
• A081582 → basis A013610
  1 · 2, 3 · 11, 33, 9 · 36, 162, 180, 27 … row sums 1, 5, 53, 405, 3509, 28885, 242677, …
  (−∞, 0] nonnegative
• A063007 → basis A013610
  1 · 3, 6 · 13, 54, 54 · 63, 396, 810, 540 … row sums 1, 9, 121, 1809, 28401, 458649, …
  (−∞, 0] nonnegative
• A085478 → basis A013610
  1 · 1 · 2, 3 · 5, 15, 9 … row sums 1, 1, 5, 29, 169, 985, 5741, 33461, …
  (−∞, 0] nonnegative
• A008288 → basis A013610
  1 · 2, 3 · 5, 15, 9 · 12, 54, 72, 27 … row sums 1, 5, 29, 165, 941, 5365, 30589, …
  (−∞, 0] nonnegative