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.

A008787 a(n) = (n + 6)^n.

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%I A008787 #37 Oct 30 2022 17:17:49
%S A008787 1,7,64,729,10000,161051,2985984,62748517,1475789056,38443359375,
%T A008787 1099511627776,34271896307633,1156831381426176,42052983462257059,
%U A008787 1638400000000000000,68122318582951682301,3011361496339065143296
%N A008787 a(n) = (n + 6)^n.
%H A008787 Vincenzo Librandi, <a href="/A008787/b008787.txt">Table of n, a(n) for n = 0..200</a>
%F A008787 E.g.f.(x) for b(n) = n^(n-6) = a(n-6): T - (31/32)*T^2 + (575/1296)*T^3 - (415/3456)*T^4 + (137/7200)*T^5 - (1/720)*T^6; where T=T(x) is Euler's tree function (see A000169). - _Len Smiley_, Nov 17 2001
%F A008787 E.g.f.: LambertW(-x)^6/(x^6*(1+LambertW(-x))). - _Vladeta Jovovic_, Nov 07 2003
%F A008787 E.g.f.: (1/5)*d/dx(LambertW(-x)/(-x))^5. - _Wolfdieter Lang_, Oct 25 2022
%p A008787 a:= n-> (n+6)^n: seq(a(n), n=0..20);
%t A008787 Table[(n+6)^n,{n,0,20}] (* _Vladimir Joseph Stephan Orlovsky_, Dec 26 2010 *)
%o A008787 (Magma) [(n+6)^n: n in [0..20]]; // _Vincenzo Librandi_, Jun 11 2013
%o A008787 (PARI) vector(20, n, (n+5)^(n-1)) \\ _G. C. Greubel_, Sep 11 2019
%o A008787 (Sage) [(n+6)^n for n in (0..20)] # _G. C. Greubel_, Sep 11 2019
%o A008787 (GAP) List([0..20], n-> (n+6)^n); # _G. C. Greubel_, Sep 11 2019
%Y A008787 Cf. A000169, A000272, A000312, A007778, A007830, A008785, A008786, this sequence, A008788, A008789, A008790, A008791.
%K A008787 nonn,easy
%O A008787 0,2
%A A008787 _N. J. A. Sloane_