A145086 Row 0 of square table A145085.

1, 1, 2, 7, 39, 322, 3723, 57577, 1147188, 28557909, 866222535, 31362744620, 1332663774173, 65529062871157, 3684878011841690, 234605021214637355, 16766728751635089083, 1335146927494755758530, 117695398260381996143695

Offset

0,3

Comments

Let S(n,x) be the e.g.f. of row n of square table A145085, then the e.g.f.s satisfy: S(n,x) = exp( Integral S(n+1,x)^(n+1) dx ) for n>=0.

Links

Paul D. Hanna, Table of n, a(n) for n=0..60

Formula

E.g.f.: A(x) = exp( Integral R(1,x) dx ) where R(1,x) is the e.g.f. of A145081, which is row 1 of square table A145080.

Prog

(PARI) {a(n)=local(A=vector(n+2, j, 1+j*x)); for(i=0, n+1, for(j=0, n, m=n+1-j; A[m]=exp(m*intformal(A[m+1]+x*O(x^n))))); n!*polcoeff(exp(intformal(A[1])), n, x)}
(PARI) {a(n)=local(A=vector(n+2, j, 1+j*x)); for(i=0, n+1, for(j=0, n, m=n+1-j; A[m]=exp(intformal(A[m+1]^(m+1)+x*O(x^n))))); n!*polcoeff(exp(intformal(A[1])), n, x)}

Crossrefs

Cf. A145085, A145087, A145088, A145089; A145080, A145081.

Sequence in context: A369196 A300519 A103365 * A367448 A052443 A153744

Adjacent sequences: A145083 A145084 A145085 * A145087 A145088 A145089

Keyword

nonn

Author

Paul D. Hanna, Oct 01 2008

Status

approved