A017507 - OEIS

%I #11 Sep 08 2022 08:44:42

%S 31381059609,204800000000000,25408476896404831,717368321110468608,

%T 9269035929372191597,73786976294838206464,422351360321044921875,

%U 1903193578437064103936,7153014030880804126753,23316389970546096340992,67766737102405685929319,179216039403700000000000

%N a(n) = (11*n + 9)^11.

%H G. C. Greubel, <a href="/A017507/b017507.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

%F From _G. C. Greubel_, Oct 29 2019: (Start)

%F 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 +1792160369461*x^10 +2048*x^11)/(1-x)^12

%F 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 +18259946919104*x^10 +285311670611*x^11)*exp(x). (End)

%p seq((11*n+9)^11, n=0..20); # _G. C. Greubel_, Oct 29 2019

%t (11*Range[20] -2)^11 (* _G. C. Greubel_, Oct 29 2019 *)

%o (PARI) vector(21, n, (11*n-2)^11) \\ _G. C. Greubel_, Oct 29 2019

%o (Magma) [(11*n+9)^11: n in [0..20]]; // _G. C. Greubel_, Oct 29 2019

%o (Sage) [(11*n+9)^11 for n in (0..20)] # _G. C. Greubel_, Oct 29 2019

%o (GAP) List([0..20], n-> (11*n+9)^11); # _G. C. Greubel_, Oct 29 2019

%Y 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).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_