A017453 a(n) = (11*n + 5)^5.

3125, 1048576, 14348907, 79235168, 282475249, 777600000, 1804229351, 3707398432, 6956883693, 12166529024, 20113571875, 31757969376, 48261724457, 71008211968, 101621504799, 141985700000, 194264244901

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 (6,-15,20,-15,6,-1).

Crossrefs

Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), this sequence (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)^5); # G. C. Greubel, Sep 18 2019

Magma

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

Maple

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

Mathematica

(11*Range[31] -6)^5 (* G. C. Greubel, Sep 18 2019 *)

PARI

vector(30, n, (11*n-6)^5) \\ G. C. Greubel, Sep 18 2019

Sage

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

Formula

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

G.f.: (3125 +1029826*x +8104326*x^2 +8807866*x^3 +1373201*x^4 +7776*x^5)/(1-x)^6.

E.g.f.: (3125 +1045451*x +6127440*x^2 +6555175*x^3 +1976535*x^4 +161051*x^5)*exp(x). (End)