A288604 a(n) = (n^9 - n)/10.

0, 51, 1968, 26214, 195312, 1007769, 4035360, 13421772, 38742048, 99999999, 235794768, 515978034, 1060449936, 2066104677, 3844335936, 6871947672, 11858787648, 19835929035, 32268769776, 51199999998, 79428004656, 120726921777, 180115266144, 264180754020

Offset: 1

Author

Seiichi Manyama, Jun 11 2017

Keywords

• nonn
• easy

Links

• Seiichi Manyama, Table of n, a(n) for n = 1..10000
• Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Cf. A164938, A196289.

Programs

Mathematica

Table[(n^9-n)/10,{n,30}] (* or *) LinearRecurrence[{10,-45,120,-210,252,-210,120,-45,10,-1},{0,51,1968,26214,195312,1007769,4035360,13421772,38742048,99999999},30] (* Harvey P. Dale, Jun 11 2019 *)

PARI

concat(0, Vec(3*x^2*(17 + 486*x + 2943*x^2 + 5204*x^3 + 2943*x^4 + 486*x^5 + 17*x^6) / (1 - x)^10 + O(x^30))) \\ Colin Barker, Jun 11 2017

PARI

a(n)=(n^9-n)/10 \\ Charles R Greathouse IV, Jun 11 2017

Formula

a(n) = (n^9 - n)/10 = A196289(n)/10.

G.f.: 3*x^2*(17 + 486*x + 2943*x^2 + 5204*x^3 + 2943*x^4 + 486*x^5 + 17*x^6) / (1 - x)^10. - Colin Barker, Jun 11 2017