A017445 a(n) = (11*n + 4)^9.

262144, 38443359375, 5429503678976, 129961739795077, 1352605460594688, 8662995818654939, 40353607000000000, 150094635296999121, 472161363286556672, 1304773183829244583, 3251948521156637184

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Crossrefs

Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), A017441 (m=5), A017442 (m=6), A017443 (m=7), A017444 (m=8), this sequence (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).

Programs

GAP

List([0..20], n-> (11*n+4)^9); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+4)^9: n in [0..20]]; // G. C. Greubel, Sep 18 2019

Maple

seq((11*n+4)^9, n=0..20); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[20] -7)^9 (* G. C. Greubel, Sep 18 2019 *)

PARI

vector(20, n, (11*n-7)^9) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+4)^9 for n in (0..20)] # G. C. Greubel, Sep 18 2019

Formula

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

G.f.: (262144 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 [phone]*x^8 [phone]*x^9)/(1-x)^10.

E.g.f.: (262144 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7 [phone]*x^8 [phone]*x^9)*exp(x). (End)