A017507 a(n) = (11*n + 9)^11.

31381059609, 204800000000000, 25408476896404831, 717368321110468608, 9269035929372191597, 73786976294838206464, 422351360321044921875, 1903193578437064103936, 7153014030880804126753, 23316389970546096340992, 67766737102405685929319, 179216039403700000000000

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 (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

Crossrefs

Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), A017499 (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), A017503 (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), this sequence (m=11), A017508 (m=12).

Programs

GAP

List([0..20], n-> (11*n+9)^11); # G. C. Greubel, Oct 29 2019

Magma

[(11*n+9)^11: n in [0..20]]; // G. C. Greubel, Oct 29 2019

Maple

seq((11*n+9)^11, n=0..20); # G. C. Greubel, Oct 29 2019

Mathematica

(11*Range[20] -2)^11 (* G. C. Greubel, Oct 29 2019 *)

PARI

vector(21, n, (11*n-2)^11) \\ G. C. Greubel, Oct 29 2019

Sage

[(11*n+9)^11 for n in (0..20)] # G. C. Greubel, Oct 29 2019

Formula

From G. C. Greubel, Oct 29 2019: (Start)

G.f.: (31381059609 + 204423427284692*x + 22952948046339025*x^2 + 425976494520496656*x^3 +2292535084833793602*x^4 +4416340564654562280*x^5 +3258008937067466010*x^6 +892801175894641200*x^7 +78407266240574469*x^8 +1500175218575748*x^9 [phone]*x^10 +2048*x^11)/(1-x)^12

E.g.f.: (31381059609 + 204768618940391*x + 12499454138732220*x^2 + 106959543173365751*x^3 +272966430737075240*x^4 +286353492156140222*x^5 + 145413296465578218*x^6 +38972231675790897*x^7 +5719308232166595*x^8 + 455590863116565*x^9 [phone]*x^10 [phone]*x^11)*exp(x). (End)