A168564 a(n) = n^6*(n^4 + 1)/2.

0, 1, 544, 29889, 526336, 4890625, 30256416, 141296449, 537001984, 1743657921, 5000500000, 12969598081, 30960175104, 68931659329, 144631092256, 288330890625, 549764202496, 1008009019009, 1785250619424, 3065556651841

Offset

0,3

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

G.f.: (x + 533*x^2 + 23960*x^3 + 227312*x^4 + 655394*x^5 + 655394*x^6 + 227312*x^7 + 23960*x^8 + 533*x^9 + x^10)/(1 - x)^11. - G. C. Greubel, Jul 26 2016

Mathematica

Table[n^6*( n^4 + 1)/2, {n, 0, 25}] (* G. C. Greubel, Jul 26 2016 *)
CoefficientList[Series[(x+533x^2+23960x^3+227312x^4+655394x^5+655394x^6+227312x^7+23960x^8+533x^9+x^10)/(1-x)^11, {x, 0, 30}], x] (* or *) LinearRecurrence[ {11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {0, 1, 544, 29889, 526336, 4890625, 30256416, 141296449, 537001984, 1743657921, 5000500000}, 40] (* Harvey P. Dale, Aug 06 2021 *)

Prog

(Magma) [n^6*(n^4+1)/2: n in [0..30]]; // Vincenzo Librandi, Aug 29 2011
(PARI) a(n)=n^6*(n^4+1)/2 \\ Charles R Greathouse IV, Jul 26 2016

Crossrefs

Sequence in context: A204725 A266136 A204724 * A223376 A022048 A107512

Adjacent sequences: A168561 A168562 A168563 * A168565 A168566 A168567

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Status

approved