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%I #21 Sep 08 2022 08:44:42
%S 10000,194481,1048576,3418801,8503056,17850625,33362176,57289761,
%T 92236816,141158161,207360000,294499921,406586896,547981281,723394816,
%U 937890625,1196883216,1506138481,1871773696,2300257521,2798410000,3373402561,4032758016,4784350561
%N a(n) = (11*n + 10)^4.
%H G. C. Greubel, <a href="/A017512/b017512.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (5,-10,10,-5,1).
%F From _G. C. Greubel_, Oct 29 2019: (Start)
%F G.f.: (10000 + 144481*x + 176171*x^2 + 20731*x^3 + x^4)/(1-x)^5.
%F E.g.f.: (10000 + 184481*x + 334807*x^2 + 141086*x^3 + 14641*x^4)*exp(x). (End)
%p A017512:=n->(11*n+10)^4: seq(A017512(n), n=0..30); # _Wesley Ivan Hurt_, Apr 11 2017
%t (11*Range[0,30]+10)^4 (* or *) LinearRecurrence[{5,-10,10,-5,1}, {10000, 194481,1048576,3418801,8503056},30] (* _Harvey P. Dale_, Dec 24 2014 *)
%o (PARI) vector(31, n, (11*n-1)^4) \\ _G. C. Greubel_, Oct 29 2019
%o (Magma) [(11*n+10)^4: n in [0..30]]; // _G. C. Greubel_, Oct 29 2019
%o (Sage) [(11*n+10)^4 for n in (0..30)] # _G. C. Greubel_, Oct 29 2019
%o (GAP) List([0..30], n-> (11*n+10)^4); # _G. C. Greubel_, Oct 29 2019
%Y Powers of the form (11*n+10)^m: A017509 (m=1), A017510 (m=2), A017511 (m=3), this sequence (m=4), A017513 (m=5), A017514 (m=6), A017515 (m=7), A017516 (m=8), A017517 (m=9), A017518 (m=10), A017519 (m=11), A017520 (m=12).
%K nonn,easy
%O 0,1
%A _N. J. A. Sloane_
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