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 A017496 a(n) = (11*n + 8)^12. 12

%I

%S 68719476736,2213314919066161,531441000000000000,22563490300366186081,

%T 390877006486250192896,3909188328478827879681,26963771415920784510976,

%U 142241757136172119140625,612709757329767363772416,2252191588960823337718801

%N a(n) = (11*n + 8)^12.

%H G. C. Greubel, <a href="/A017496/b017496.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (13,-78,286,-715,1287,-1716,1716,-1287,715,-286,78,-13,1).

%F From _G. C. Greubel_, Sep 22 2019: (Start)

%F G.f.: (68719476736 +2212421565868593*x +502673266171325315 x^2 + 15827376210283000143*x^3 +138371071649062718037*x^4 + 437329793311303632234*x^5 +556703322340591831614*x^6 + 291323423723258446014*x^7 +59225473544688673002*x^8 + 3967943081254819733*x^9 +58867623955964175*x^10 +56693905466563*x^11 + 531441*x^12)/(1-x)^13.

%F E.g.f.: (68719476736 +2213246199589425*x +263507219440672207*x^2 + 3495967862733984638*x^3 +12658451587242860861*x^4 +18126123796309288584* x^5 +12400673710435349284*x^6 +4501229025478529124*x^7 + 916653053822529507*x^8 +106739635024880275*x^9 +6967025684650009*x^10 + 234526193242242*x^11 +3138428376721*x^12)*exp(x). (End)

%p seq((11*n+8)^12, n=0..20); # _G. C. Greubel_, Sep 22 2019

%t (11*Range[0,20]+8)^12 (* _Harvey P. Dale_, Jul 31 2012 *)

%o (Maxima) makelist( (11*n+8)^12, n, 0, 30); /* _Martin Ettl_, Oct 21 2012 */

%o (PARI) vector(20, n, (11*n-3)^12) \\ _G. C. Greubel_, Sep 22 2019

%o (MAGMA) [(11*n+8)^12: n in [0..20]]; // _G. C. Greubel_, Sep 22 2019

%o (Sage) [(11*n+8)^12 for n in (0..20)] # _G. C. Greubel_, Sep 22 2019

%o (GAP) List([0..20], n-> (11*n+8)^12); # _G. C. Greubel_, Sep 22 2019

%Y Powers of the form (11*n+8)^m: A017485 (m=1), A017486 (m=2), A017487 (m=3), A017488 (m=4), A017489 (m=5), A017490 (m=6), A017491 (m=7), A017492 (m=8), A017493 (m=9), A017494 (m=10), A017495 (m=11), this sequence (m=12).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified August 14 18:32 EDT 2020. Contains 336483 sequences. (Running on oeis4.)