A017495 - OEIS

%I #14 Sep 08 2022 08:44:42

%S 8589934592,116490258898219,17714700000000000,550329031716248441,

%T 7516865509350965248,62050608388552823487,364375289404334925824,

%U 1673432436896142578125,6382393305518410039296,21048519522998348950643,61759259534823101765632,164621598066108688876929

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

%H G. C. Greubel, <a href="/A017495/b017495.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (12,-66,220,-495,792,-924,792,-495,220,-66,12,-1).

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

%F G.f.: (8589934592 +116387179683115*x +16317383828904444*x^2 + 345439099017920655*x^3 +2056463723815998816*x^4 +4330360244540059158*x^5 +3485249533342266888*x^6 +1049164126934199606*x^7 +103278745612305120* x^8 +2335591020671359*x^9 +4049563043900*x^10 +177147*x^11)/(1-x)^12.

%F E.g.f.: (8589934592 +116481668963627*x +8740864036069077*x^2 + 82922398983834751*x^3 +225890484585013050*x^4 +248275055013875318*x^5 + 130670920341658389*x^6 +36045281196709257*x^7 +5418280840195080*x^8 + 440547156847985*x^9 +17974635248493*x^10 +285311670611*x^11)*exp(x). (End)

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

%t (11*Range[0,20]+8)^11 (* _Harvey P. Dale_, Dec 18 2011 *)

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

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

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

%o (GAP) List([0..20], n-> (11*n+8)^11); # _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), this sequence (m=11), A017496 (m=12).

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

%E More terms added by _G. C. Greubel_, Sep 22 2019