A017503 - OEIS

%I #23 Nov 12 2022 17:50:31

%S 4782969,1280000000,27512614111,230539333248,1174711139837,

%T 4398046511104,13348388671875,34792782221696,80798284478113,

%U 171382426877952,337931541778439,627485170000000,1107984764452581,1874584905187328,3057125241215467,4828861374436224

%N a(n) = (11*n + 9)^7.

%H G. C. Greubel, <a href="/A017503/b017503.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (8,-28,56,-70,56,-28,8,-1).

%F a(n) = A001015(A017497(n)). - _Michel Marcus_, Nov 21 2013

%F From _G. C. Greubel_, Oct 28 2019: (Start)

%F G.f.: (4782969 + 1241736248*x + 17406537243*x^2 + 46010574096*x^3 + 29404476791*x^4 + 4084486872*x^5 + 62747493*x^6 + 128*x^7)/(1-x)^8.

%F E.g.f.: (4782969 + 1275217031*x + 12478698540*x^2 + 25306117991*x^3 + 17188094770*x^4 + 4676276836*x^5 + 520838934*x^6 + 19487171*x^7)*exp(x). (End)

%p A017503:=n->(11*n+9)^7; seq(A017503(n), n=0..50); # _Wesley Ivan Hurt_, Nov 20 2013

%t Table[(11n+9)^7, {n,0,50}] (* _Wesley Ivan Hurt_, Nov 20 2013 *)

%t LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{4782969,1280000000,27512614111,230539333248,1174711139837,4398046511104,13348388671875,34792782221696},20] (* _Harvey P. Dale_, Nov 12 2022 *)

%o (PARI) vector(21, n, (11*n-2)^7) \\ _G. C. Greubel_, Oct 28 2019

%o (Magma) [(11*n+9)^7: n in [0..20]]; // _G. C. Greubel_, Oct 28 2019

%o (Sage) [(11*n+9)^7 for n in (0..20)] # _G. C. Greubel_, Oct 28 2019

%o (GAP) List([0..20], n-> (11*n+9)^7); # _G. C. Greubel_, Oct 28 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), this sequence (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), A017607 (m=11), A017508 (m=12).

%Y Subsequence of A001015.

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_