A017136 a(n) = (8*n + 5)^12.

244140625, 23298085122481, 7355827511386641, 353814783205469041, 6582952005840035281, 68952523554931640625, 491258904256726154641, 2654348974297586158321, 11646329922777311412561, 43439888521963583647921

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1).

Formula

a(n) = 13*a(n-1) - 78*a(n-2) + 286*a(n-3) - 715*a(n-4) + 1287*a(n-5) - 1716*a(n-6) + 1716*a(n-7) - 1287*a(n-8) + 715*a(n-9) - 286*a(n-10) + 78*a(n-11) - 13*a(n-12) + a(n-13). - R. J. Mathar, Aug 01 2014

G.f.: ( -244140625 - 23294911294356*x - 7052971447763138*x^2 - 260006206372777476*x^3 - 2550451292272613055*x^4 - 8884591717434777384*x^5 - 12384758955407560476*x^6 - 7106381654444648616*x^7 - 1599731222747050719*x^8 - 121566338610531140*x^9 - 2172515391621186*x^10 - 3138421467988*x^11 - 531441*x^12 ) / (x-1)^13. - R. J. Mathar, Aug 01 2014

Mathematica

(8*Range[0, 20]+5)^12 (* Harvey P. Dale, Jul 10 2018 *)

Prog

(Magma) [(8*n+5)^12: n in [0..15] ]; // Vincenzo Librandi, Jul 21 2011

Crossrefs

Sequence in context: A016860 A016980 A017052 * A017232 A017340 A017460

Adjacent sequences: A017133 A017134 A017135 * A017137 A017138 A017139

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved