A090359 Self-convolution equals the binomial transform of A090358: A^2 = BINOMIAL(A090358), where A090358^6 = BINOMIAL(A090358^5).

1, 1, 4, 40, 640, 13816, 374636, 12229364, 466769330, 20391705290, 1003264704212, 54885373562372, 3304609250020008, 217139910688424400, 15461303963210314980, 1185856988993966140380, 97466557932008735970465

Offset

0,3

Comments

See comments in A090358.

Links

Vaclav Kotesovec, Table of n, a(n) for n = 0..310

Formula

a(n) ~ (n-1)! / (50 * (log(6/5))^(n+1)). - Vaclav Kotesovec, Nov 19 2014

Prog

(PARI) {a(n)=local(A); if(n<1, 0, A=1+x+x*O(x^n); for(k=1, n, B=subst(A^5, x, x/(1-x))/(1-x)+x*O(x^n); A=A-A^6+B); B=subst(A, x, x/(1-x))/(1-x)+x*O(x^n); polcoeff(B^(1/2), n, x))}

Crossrefs

Cf. A090358.

Sequence in context: A141011 A365570 A365587 * A049308 A227055 A343446

Adjacent sequences: A090356 A090357 A090358 * A090360 A090361 A090362

Keyword

nonn

Author

Paul D. Hanna, Nov 26 2003

Status

approved