A017464 a(n) = (11*n + 6)^4.

1296, 83521, 614656, 2313441, 6250000, 13845841, 26873856, 47458321, 78074896, 121550625, 181063936, 260144641, 362673936, 492884401, 655360000, 855036081, 1097199376, 1387488001, 1731891456, 2136750625, 2608757776, 3154956561, 3782742016, 4499860561, 5314410000

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+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), this sequence (m=4), A017465 (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Programs

GAP

List([0..30], n-> (11*n+6)^4); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^4: n in [0..30]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+6)^4, n=0..30); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[30] -5)^4 (* G. C. Greubel, Sep 19 2019 *)
LinearRecurrence[{5,-10,10,-5,1},{1296,83521,614656,2313441,6250000},30] (* Harvey P. Dale, Oct 11 2021 *)

PARI

vector(30, n, (11*n-5)^4) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+5)^4 for n in (0..30)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (1296 +77041*x +210011*x^2 +62411*x^3 +625*x^4)/(1-x)^5.

E.g.f.: (1296 +82225*x +224455*x^2 +119790*x^3 +14641*x^4)*exp(x). (End)