cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A017506 a(n) = (11*n + 9)^10.

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%I A017506 #16 Sep 08 2022 08:44:42
%S A017506 3486784401,10240000000000,819628286980801,17080198121677824,
%T A017506 174887470365513049,1152921504606846976,5631351470947265625,
%U A017506 22130157888803070976,73742412689492826049,215892499727278669824
%N A017506 a(n) = (11*n + 9)^10.
%H A017506 G. C. Greubel, <a href="/A017506/b017506.txt">Table of n, a(n) for n = 0..1000</a>
%H A017506 <a href="/index/Rec#order_11">Index entries for linear recurrences with constant coefficients</a>, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).
%F A017506 From _G. C. Greubel_, Oct 28 2019: (Start)
%F A017506 G.f.: (3486784401 + 10201645371589*x + 707180060122856*x^2 + 8626911645462848*x^3 + 30396397449853370*x^4 + 36709149032258330*x^5 + 15541165896383216*x^6 + 2068692379779224*x^7 + 61886937611357*x^8 + 137858480585*x^9 + 1024*x^10)/(1-x)^11.
%F A017506 E.g.f.: (3486784401 + 10236513215599*x + 399575886882601*x^2 + 2442004962325170*x^3 + 4643478795311290*x^4 + 3676175396995563*x^5 + 1399671561315027*x^6 + 274137726759600*x^7 + 27874157090835*x^8 + 1379399399235*x^9 + 25937424601*x^10)*exp(x). (End)
%p A017506 seq((11*n+9)^10, n=0..20); # _G. C. Greubel_, Oct 28 2019
%t A017506 (11*Range[20] -2)^10 (* _G. C. Greubel_, Oct 28 2019 *)
%t A017506 LinearRecurrence[{11,-55,165,-330,462,-462,330,-165,55,-11,1},{3486784401,10240000000000,819628286980801,17080198121677824,174887470365513049,1152921504606846976,5631351470947265625,22130157888803070976,73742412689492826049,215892499727278669824,569468379011812486801},30] (* _Harvey P. Dale_, Jul 14 2021 *)
%o A017506 (PARI) vector(21, n, (11*n-2)^10) \\ _G. C. Greubel_, Oct 28 2019
%o A017506 (Magma) [(11*n+9)^10: n in [0..20]]; // _G. C. Greubel_, Oct 28 2019
%o A017506 (Sage) [(11*n+9)^10 for n in (0..20)] # _G. C. Greubel_, Oct 28 2019
%o A017506 (GAP) List([0..20], n-> (11*n+9)^10); # _G. C. Greubel_, Oct 28 2019
%Y A017506 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), this sequence (m=10), A017607 (m=11), A017508 (m=12).
%Y A017506 Subsequence of A008454.
%K A017506 nonn,easy
%O A017506 0,1
%A A017506 _N. J. A. Sloane_