A017028 a(n) = (7*n + 3)^12.

531441, 1000000000000, 582622237229761, 36520347436056576, 787662783788549761, 9065737908494995456, 68952523554931640625, 390877006486250192896, 1779197418239532716881, 6831675453247426400256

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Programs

Magma

[(7*n+3)^12: n in [0..20]]; // Vincenzo Librandi, Jul 14 2011

Mathematica

(7Range[0,10]+3)^12 (* Harvey P. Dale, Nov 03 2011 *)

Formula

G.f.: -(531441 + 999993091267*x + 569622278682159*x^2 + 29024258200077557*x^3 + 358056802003715946*x^4 + 1508793858724585278*x^5 + 2506096413822632190*x^6 + 1714130567777075370*x^7 + 467396391757977813*x^8 + 44810629431950799*x^9 + 1116033121151651*x^10 + 3138210272913*x^11 + 16777216*x^12)/(x-1)^13. - R. J. Mathar, Jul 07 2017