A017440 a(n) = (11*n + 4)^4.

256, 50625, 456976, 1874161, 5308416, 12117361, 24010000, 43046721, 71639296, 112550881, 168896016, 244140625, 342102016, 466948881, 623201296, 815730721, 1049760000, 1330863361, 1664966416, 2058346161, 2517630976, 3049800625, 3662186256, 4362470401, 5158686976, 6059221281

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Crossrefs

Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), this sequence (m=4), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).

Programs

GAP

List([0..30], n-> (11*n+4)^4); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+4)^4: n in [0..30]]; // G. C. Greubel, Sep 18 2019

Maple

seq((11*n + 4)^4, n=0..30); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[30] -7)^4 (* G. C. Greubel, Sep 18 2019 *)

PARI

vector(30, n, (11*n-7)^4) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+4)^4 for n in (0..30)] # G. C. Greubel, Sep 18 2019

Formula

From G. C. Greubel, Sep 18 2019: (Start)

G.f.: (256 +49345*x +206411*x^2 -92971*x^3 +2401*x^4)/(1-x)^5.

E.g.f.: (256 + 50369*x + 177991*x^2 + 109142*x^3 + 14641*x^4)*exp(x). (End)

Extensions

Terms a(20) onward added by G. C. Greubel, Sep 18 2019