A016865 (5n+1)^5.

1, 7776, 161051, 1048576, 4084101, 11881376, 28629151, 60466176, 115856201, 205962976, 345025251, 550731776, 844596301, 1252332576, 1804229351, 2535525376, 3486784401, 4704270176, 6240321451

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Programs

Magma

[(5*n+1)^5: n in [0..20]]; // Vincenzo Librandi, Oct 15 2013

Mathematica

CoefficientList[Series[(1024 x^5 + 52905 x^4 + 198890 x^3 + 114410 x^2 + 7770 x + 1)/(x - 1)^6, {x, 0, 40}], x] (* Vincenzo Librandi, Oct 15 2013 *)

Formula

G.f.: (1024*x^5+52905*x^4+198890*x^3+114410*x^2+7770*x+1)/(x-1)^6. [Colin Barker, Sep 19 2012]