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 A329123 #14 Dec 18 2024 21:00:57 %S A329123 1,5,41,420,4986,66810,1002088,16806508,315407579,6620028959, %T A329123 154924624070,4020925173996,114962504927760,3595318334723744, %U A329123 122162584874240256,4482358458470131580,176643906831439963801,7441446644628587378829,333713924433617162053239,15872723846851837735096664 %N A329123 Row sums of A329060. %H A329123 Robert Israel, <a href="/A329123/b329123.txt">Table of n, a(n) for n = 0..386</a> %F A329123 a(n) = binomial(3 + 5*n, n)*2F1([1, -n], [-3 - 5*n], 1 + n)/(1 + n), where 2F1 is the hypergeometric function. %F A329123 a(n) ~ exp(5) * n^(n-1). - _Vaclav Kotesovec_, Nov 06 2019 %p A329123 f:= n -> simplify(binomial(3 + 5*n, n)*hypergeom([1, -n], [-3 - 5*n], 1 + n)/(1 + n)): %p A329123 map(f, [$0..30]); # _Robert Israel_, Nov 13 2019 %t A329123 Table[(Binomial[3+5n, n]Hypergeometric2F1[1, -n, -3-5n, 1+n])/(1+n),{n,0,19}] %Y A329123 Cf. A007318, A329060. %K A329123 nonn %O A329123 0,2 %A A329123 _Stefano Spezia_, Nov 05 2019