A017033 a(n) = (7*n + 4)^5.

1024, 161051, 1889568, 9765625, 33554432, 90224199, 205962976, 418195493, 777600000, 1350125107, 2219006624, 3486784401, 5277319168, 7737809375, 11040808032, 15386239549, 21003416576, 28153056843, 37129300000, 48261724457, 61917364224, 78502725751, 98465804768, 122298103125

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1).

Formula

G.f.: (1024 + 154907*x + 938622*x^2 + 823502*x^3 + 98542*x^4 + 243*x^5)/(x-1)^6. - R. J. Mathar, Jul 07 2017

Mathematica

(7*Range[0, 25] + 4)^5 (* Paolo Xausa, Dec 07 2025 *)
LinearRecurrence[{6, -15, 20, -15, 6, -1}, {1024, 161051, 1889568, 9765625, 33554432, 90224199}, 30] (* Harvey P. Dale, May 20 2026 *)

Prog

(Magma) [(7*n+4)^5: n in [0..40] ]; // Vincenzo Librandi, Jul 16 2011

Crossrefs

Sequence in context: A269205 A224284 A224207 * A017117 A269293 A017213

Adjacent sequences: A017030 A017031 A017032 * A017034 A017035 A017036

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved