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 A370234 #10 Feb 18 2024 03:19:52
%S A370234 1,4,24,143,881,5534,35213,226238,1464382,9534594,62377881,409717004,
%T A370234 2700168229,17845927498,118238842174,785086422265,5222747607607,
%U A370234 34802614713382,232261844100109,1552139710253683,10385180872126402,69563083672190704,466425975579323539
%N A370234 a(n) = hypergeom([-n, 1 + n, 2 + n, -1 - n], [1/2, 1/2, 1], 1/16). Row sums of A370233.
%F A370234 a(n) ~ phi^(4*n+4) / (2^(3/2) * 5^(1/4) * sqrt(Pi*n)), where phi = A001622 is the golden ratio. - _Vaclav Kotesovec_, Feb 18 2024
%t A370234 Table[HypergeometricPFQ[{-1 - n, -n, 1 + n, 2 + n}, {1/2, 1/2, 1}, 1/16], {n, 0, 25}] (* _Vaclav Kotesovec_, Feb 18 2024 *)
%o A370234 (PARI) a(n) = round(hypergeom([-n, 1 + n, 2 + n, -1 - n], [1/2, 1/2, 1], 1/16)); \\ _Michel Marcus_, Feb 13 2024
%Y A370234 Cf. A370233.
%K A370234 nonn
%O A370234 0,2
%A A370234 _Peter Luschny_, Feb 13 2024