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A145086 Row 0 of square table A145085. 6
1, 1, 2, 7, 39, 322, 3723, 57577, 1147188, 28557909, 866222535, 31362744620, 1332663774173, 65529062871157, 3684878011841690, 234605021214637355, 16766728751635089083, 1335146927494755758530, 117695398260381996143695 (list; graph; refs; listen; history; text; internal format)
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: A187806 A300519 A103365 * A052443 A153744 A266422

Adjacent sequences:  A145083 A145084 A145085 * A145087 A145088 A145089

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 01 2008

STATUS

approved

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Last modified November 27 03:56 EST 2021. Contains 349345 sequences. (Running on oeis4.)