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.
%I A077568 #14 Jul 31 2023 18:51:33
%S A077568 1,-1,11,-39,633,-4065,86355,-818055,21370545,-270059265,8348125275,
%T A077568 -132575387175,4724044288425,-90632895177825,3652562288650275,
%U A077568 -82321915303002375,3698358581066774625,-95898903720429434625,4748433998702431912875,-139390494822185358126375
%N A077568 a(1,n) as defined in A003148.
%F A077568 Conjecture: a(n) +a(n-1) -2*(2*n+1)*(n-1)*a(n-2)=0. - _R. J. Mathar_, May 26 2016
%p A077568 A003148 := proc(m::integer,n::integer) RETURN( doublefactorial(2*n+2*m+1)/(2*m+1)*simplify(hypergeom([ -n,m+1/2],[m+3/2],2))) ; end proc:
%p A077568 A077568 := proc(n::integer) A003148(1,n) ; end proc:
%p A077568 for n from 0 to 20 do print(A077568(n)); od: # _R. J. Mathar_, Apr 25 2006
%t A077568 a[m_, n_] := (2n + 2m + 1)!!/(2m + 1)*Hypergeometric2F1[-n, m + 1/2, m + 3/2, 2];
%t A077568 Table[a[1, n], {n, 0, 15}] (* _Jean-François Alcover_, Jul 31 2023, after _R. J. Mathar_ *)
%Y A077568 Cf. A003148, A084543.
%K A077568 sign
%O A077568 0,3
%A A077568 _R. J. Mathar_, Jul 01 2003
%E A077568 More terms from _R. J. Mathar_, Apr 25 2006