A017452 a(n) = (11*n + 5)^4.

625, 65536, 531441, 2085136, 5764801, 12960000, 25411681, 45212176, 74805201, 116985856, 174900625, 252047376, 352275361, 479785216, 639128961, 835210000, 1073283121, 1358954496, 1698181681, 2097273616, 2562890625, 3102044416, 3722098081, 4430766096, 5236114321, 6146560000

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+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), this sequence (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Programs

GAP

List([0..30], n-> (11*n+5)^4); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+5)^4: n in [0..30]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+5)^4, n=0..30); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[30] -6)^3 (* G. C. Greubel, Sep 18 2019 *)
LinearRecurrence[{5,-10,10,-5,1},{625,65536,531441,2085136,5764801},30] (* Harvey P. Dale, Nov 29 2022 *)

PARI

vector(30, n, (11*n-6)^4) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+5)^4 for n in (0..30)] # G. C. Greubel, Sep 18 2019

Formula

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

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

E.g.f.: (625 +64911*x +200497*x^2 +114466*x^3 +14641*x^4)*exp(x). (End)