A017488 a(n) = (11*n + 8)^4.

4096, 130321, 810000, 2825761, 7311616, 15752961, 29986576, 52200625, 84934656, 131079601, 193877776, 276922881, 384160000, 519885601, 688747536, 895745041, 1146228736, 1445900625, 1800814096, 2217373921, 2702336256, 3262808641, 3906250000, 4640470641

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 (5,-10,10,-5,1).

Crossrefs

Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), this sequence (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), A017496 (m=12).

Programs

GAP

List([0..30], n-> (11*n+8)^4); # G. C. Greubel, Sep 22 2019

Magma

[(11*n+8)^4: n in [0..30]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+8)^4, n=0..30); # G. C. Greubel, Sep 22 2019

Mathematica

(11*Range[31] -3)^4 (* G. C. Greubel, Sep 22 2019 *)

PARI

vector(30, n, (11*n-3)^4) \\ G. C. Greubel, Sep 22 2019

Sage

[(11*n+8)^4 for n in (0..30)] # G. C. Greubel, Sep 22 2019

Formula

From G. C. Greubel, Sep 22 2019: (Start)

G.f.: (4096 + 109841*x + 199355*x^2 + 38011*x^3 + 81*x^4)/(1-x)^5.

E.g.f.: (4096 +126225*x +276727*x^2 +130438*x^3 +14641*x^4)*exp(x). (End)