A017020 a(n) = (7*n + 3)^4.

81, 10000, 83521, 331776, 923521, 2085136, 4100625, 7311616, 12117361, 18974736, 28398241, 40960000, 57289761, 78074896, 104060401, 136048896, 174900625, 221533456, 276922881, 342102016, 418161601

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

From G. C. Greubel, Oct 17 2023: (Start)

G.f.: (81 + 9595*x + 34331*x^2 + 13361*x^3 + 256*x^4)/(1 - x)^5.

E.g.f.: (81 + 9919*x + 31801*x^2 + 18522*x^3 + 2401*x^4)*exp(x). (End)

Mathematica

(7*Range[0, 20]+3)^4 (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {81, 10000, 83521, 331776, 923521}, 30] (* Harvey P. Dale, Oct 29 2019 *)

Prog

(Magma) [(7*n+3)^4: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
(SageMath) [(7*n+3)^4 for n in range(41)] # G. C. Greubel, Oct 17 2023

Crossrefs

Cf. A017017, A017018, A017019, A017021 - A017028.

Sequence in context: A223328 A093281 A059988 * A237027 A185847 A058422

Adjacent sequences: A017017 A017018 A017019 * A017021 A017022 A017023

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved