%I #7 Jul 27 2022 06:52:38
%S 0,1,3,7,24,87,332,1320,5407,22672,96844,419910,1843386,8176962,
%T 36594388,165026353,749170529,3420949803,15702232962,72407225094,
%U 335276107549,1558289108596,7267201176311,33996105203757,159484982985619,750134031377432
%N a(n) = round(3F2([1, 3/2, 1 - n], [2, 2], -4)).
%C Without rounding, the sequence were 1, 5/2, 22/3, 97/4, 436/5, 997/3, 9241/7, 43257/8,... for n>=1. - _R. J. Mathar_, Jul 27 2022
%F a(n) = A129164(n)/n for n>=1.
%o (Sage)
%o A246657 = lambda n: hypergeometric([1, 3/2, 1-n], [2, 2], -4)
%o [round(A246657(n).n(100)) for n in (0..25)]
%Y Cf. A129164.
%K nonn
%O 0,3
%A _Peter Luschny_, Sep 16 2014