A017446 a(n) = (11*n + 4)^10.

1048576, 576650390625, 141167095653376, 4808584372417849, 64925062108545024, 511116753300641401, 2824752490000000000, 12157665459056928801, 43438845422363213824, 134391637934412192049

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 (11,-55,165,-330,462,-462,330,-165,55,-11,1).

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), A017445 (m=9), this sequence (m=10), A017447 (m=11), A017448 (m=12).

Programs

GAP

List([0..20], n-> (11*n+4)^10); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+4)^10: n in [0..20]]; // G. C. Greubel, Sep 18 2019

Maple

seq((11*n+4)^10, n=0..20); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[0,20]+4)^10 (* Harvey P. Dale, Aug 30 2015 *)

PARI

vector(20, n, (11*n-7)^10) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+4)^10 for n in (0..20)] # G. C. Greubel, Sep 18 2019

Formula

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

G.f.: (1048576 [phone]*x [phone]*x^2 +3287461918700048*x^3 +19699677304461320*x^4 +38310933951284930*x^5 +26248927783563266*x^6 + 6054309522746024*x^7 [phone]*x^8 [phone]*x^9 [phone]* x^10)/(1-x)^11.

E.g.f.: (1048576 [phone]*x [phone]*x^2 [phone]*x^3 +1938975858011665*x^4 +1943070823137213*x^5 [phone]*x^6 + 200558066497800*x^7 [phone]*x^8 [phone]*x^9 [phone]* x^10)*exp(x). (End)