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.

A017478 a(n) = (11*n + 7)^6.

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%I A017478 #20 Sep 08 2022 08:44:42
%S A017478 117649,34012224,594823321,4096000000,17596287801,56800235584,
%T A017478 151334226289,351298031616,735091890625,1418519112256,2565164201769,
%U A017478 4398046511104,7212549413161,11390625000000,17416274304961,25892303048704,37558352909169,53310208315456,74220378765625
%N A017478 a(n) = (11*n + 7)^6.
%H A017478 Vincenzo Librandi, <a href="/A017478/b017478.txt">Table of n, a(n) for n = 0..10000</a>
%H A017478 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (7,-21,35,-35,21,-7,1).
%F A017478 From _G. C. Greubel_, Sep 19 2019: (Start)
%F A017478 G.f.: (117649 +33188681*x +359208382*x^2 +642375742*x^3 +229267417*x^4 +11361953*x^5 +4096*x^6)/(1-x)^7.
%F A017478 E.g.f.: (117649 +33894575*x +263458261*x^2 +402241510*x^3 +193554020*x^4 +33337557*x^5 +1771561*x^6)*exp(x). (End)
%p A017478 seq((11*n+7)^6, n=0..20); # _G. C. Greubel_, Sep 19 2019
%t A017478 (11*Range[21] -4)^6 (* _G. C. Greubel_, Sep 19 2019 *)
%o A017478 (Magma) [(11*n+7)^6: n in [0..20]]; // _Vincenzo Librandi_, Sep 04 2011
%o A017478 (Maxima) makelist((11*n+7)^6, n, 0, 20); /* _Martin Ettl_, Oct 21 2012 */
%o A017478 (PARI) vector(20, n, (11*n-4)^6) \\ _G. C. Greubel_, Sep 19 2019
%o A017478 (Sage) [(11*n+7)^6 for n in (0..20)] # _G. C. Greubel_, Sep 19 2019
%o A017478 (GAP) List([0..20], n-> (11*n+7)^6); # _G. C. Greubel_, Sep 19 2019
%Y A017478 Powers of the form (11*n+7)^m: A017473 (m=1), A017474 (m=2), A017475 (m=3), A017476 (m=4), A017477 (m=5), this sequence (m=6), A017479 (m=7), A017480 (m=8), A017481 (m=9), A017482 (m=10), A017483 (m=11), A017484 (m=12).
%K A017478 nonn,easy
%O A017478 0,1
%A A017478 _N. J. A. Sloane_