A017476 a(n) = (11*n + 7)^4.

2401, 104976, 707281, 2560000, 6765201, 14776336, 28398241, 49787136, 81450625, 126247696, 187388721, 268435456, 373301041, 506250000, 671898241, 875213056, 1121513121, 1416468496, 1766100625, 2176782336, 2655237841, 3208542736, 3844124001, 4569760000

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+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), this sequence (m=4), A017477 (m=5), A017478 (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).

Programs

GAP

List([0..30], n-> (11*n+7)^4); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+7)^4: n in [0..30]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+7)^4, n=0..30); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[0,30]+7)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1}, {2401, 104976,707281,2560000,6765201}, 30] (* Harvey P. Dale, Oct 21 2015 *)

PARI

vector(30, n, (11*n-4)^4) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+7)^4 for n in (0..30)] # G. C. Greubel, Sep 19 2019

Formula

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5); a(0)=2401, a(1)=104976, a(2)=707281, a(3)=2560000, a(4)=6765201. - Harvey P. Dale, Oct 21 2015

From G. C. Greubel, Sep 19 2019: (Start)

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

E.g.f.: (2401 +102575*x +249865*x^2 +125114*x^3 +14641 x^4)*exp(x). (End)