A379555 Row products of the triangle A330613.

1, 1, 10, 312, 19800, 2112320, 339721200, 76736721600, 23161613673856, 9002333397657600, 4378779743334796800, 2605462349704907264000, 1861650500340096385920000, 1572904258939213777572323328, 1551130967414603865237595648000, 1765646154517023983944233381888000, 2297658475440816396798100972400640000

Offset: 0

Author

Stefano Spezia, Dec 25 2024

Keywords

• nonn

Crossrefs

Cf. A227514, A330613.

Programs

Mathematica

a[n_]:=(1-2n)^(n-1)(1-2n+2n^2)Pochhammer[-2(n-1)^2/(2n-1),n-1]; Array[a,17,0]

Formula

a(n) = (1 - 2*n)^(n-1)*(1 - 2*n + 2*n^2)*Pochhammer(-2*(n - 1)^2/(2*n - 1), n - 1).

a(n) ~ C*2^n*exp(3/(8*n)-n)*n^(2*n), where C = sqrt(2/e) = A227514.