A170785 a(n) = n^9*(n^3 + 1)/2.

0, 1, 2304, 275562, 8519680, 123046875, 1093430016, 6940820404, 34426847232, 141408478485, 500500000000, 1570393162206, 4460630114304, 11654344810927, 28357286711040, 64892390625000, 140771848093696, 291370412553129

Offset

0,3

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

G.f.: (x + 2291*x^2 + 245688*x^3 + 5116800*x^4 + 33126642*x^5 + 81191022* x^6 + 81321264*x^7 + 33191832*x^8 + 5070885*x^9 + 232583*x^10 + 1792* x^11)/(1-x)^13. - G. C. Greubel, Dec 05 2017

Mathematica

Table[n^9*(n^3+1)/2, {n, 0, 30}] (* G. C. Greubel, Dec 05 2017 *)
LinearRecurrence[{13, -78, 286, -715, 1287, -1716, 1716, -1287, 715, -286, 78, -13, 1}, {0, 1, 2304, 275562, 8519680, 123046875, 1093430016, 6940820404, 34426847232, 141408478485, 500500000000, 1570393162206, 4460630114304}, 20] (* Harvey P. Dale, Feb 14 2026 *)

Prog

(Magma) [n^9*(n^3+1)/2: n in [0..20]]; // Vincenzo Librandi, Aug 26 2011
(PARI) for(n=0, 30, print1(n^9*(n^3+1)/2, ", ")) \\ G. C. Greubel, Dec 05 2017

Crossrefs

Sequence in context: A229698 A236280 A187194 * A259321 A223302 A174558

Adjacent sequences: A170782 A170783 A170784 * A170786 A170787 A170788

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved