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A017515 a(n) = (11*n + 10)^7.

%I A017515 #14 Mar 24 2025 18:16:01
%S A017515 10000000,1801088541,34359738368,271818611107,1338925209984,
%T A017515 4902227890625,14645194571776,37725479487783,86812553324672,
%U A017515 182803912081669,358318080000000,662062621900811,1164175380274048
%N A017515 a(n) = (11*n + 10)^7.
%H A017515 G. C. Greubel, <a href="/A017515/b017515.txt">Table of n, a(n) for n = 0..1000</a>
%H A017515 <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 A017515 From _G. C. Greubel_, Oct 29 2019: (Start)
%F A017515 G.f.: (10000000 + 1721088541*x + 20231030040*x^2 + 46811183311*x^3 + 26288037136*x^4 + 3118171011*x^5 + 35831800*x^6 + x^7)/(1-x)^8.
%F A017515 E.g.f.: (10000000 + 1791088541*x + 15383780643*x^2 + 29022110271*x^3 + 18775618400*x^4 + 4926550090*x^5 + 533239861*x^6 + 19487171*x^7)*exp(x). (End)
%p A017515 seq((11*n+10)^7, n=0..20); # _G. C. Greubel_, Oct 29 2019
%t A017515 (11*Range[20] -1)^7 (* _G. C. Greubel_, Oct 29 2019 *)
%t A017515 LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{10000000,1801088541,34359738368,271818611107,1338925209984,4902227890625,14645194571776,37725479487783},20] (* _Harvey P. Dale_, Mar 24 2025 *)
%o A017515 (PARI) vector(21, n, (11*n-1)^7) \\ _G. C. Greubel_, Oct 29 2019
%o A017515 (Magma) [(11*n+10)^7: n in [0..20]]; // _G. C. Greubel_, Oct 29 2019
%o A017515 (Sage) [(11*n+10)^7 for n in (0..20)] # _G. C. Greubel_, Oct 29 2019
%o A017515 (GAP) List([0..20], n-> (11*n+10)^7); # _G. C. Greubel_, Oct 29 2019
%Y A017515 Powers of the form (11*n+10)^m: A017509 (m=1), A017510 (m=2), A017511 (m=3), A017512 (m=4), A017513 (m=5), A017514 (m=6), this sequence (m=7), A017516 (m=8), A017517 (m=9), A017518 (m=10), A017519 (m=11), A017520 (m=12).
%K A017515 nonn,easy
%O A017515 0,1
%A A017515 _N. J. A. Sloane_