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A145089 Row 4 of square table A145085. 5
1, 1, 6, 71, 1291, 32186, 1030491, 40606281, 1911466016, 105145651821, 6645220590851, 476096681256716, 38249611004598701, 3415114289928480181, 336324126216378275806, 36299781235381103548731 (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

Table of n, a(n) for n=0..15.

FORMULA

E.g.f.: A(x) = S(4,x) = exp( Integral S(5,x)^5 dx ) where S(n,x) is the e.g.f. of row n of square table A145085.

E.g.f.: A(x) = R(4,x)^(1/4) = exp( Integral R(5,x) dx ) where R(4,x) = e.g.f. of A145084 and R(5,x) = e.g.f. of row 5 of square table A145080.

PROG

(PARI) {a(n)=local(A=vector(n+5, j, 1+j*x)); for(i=0, n+4, for(j=0, n, m=n+4-j; A[m]=exp(m*intformal(A[m+1]+x*O(x^n))))); n!*polcoeff(A[4]^(1/4), n, x)}

(PARI) {a(n)=local(A=vector(n+5, j, 1+j*x)); for(i=0, n+4, for(j=0, n, m=n+4-j; A[m]=exp(intformal(A[m+1]^(m+1)+x*O(x^n))))); n!*polcoeff(A[4], n, x)}

CROSSREFS

Cf. A145085, A145086, A145087, A145088; A145080, A145084.

Sequence in context: A274644 A349684 A349598 * A218676 A127135 A187651

Adjacent sequences:  A145086 A145087 A145088 * A145090 A145091 A145092

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 01 2008

STATUS

approved

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Last modified November 28 00:12 EST 2021. Contains 349395 sequences. (Running on oeis4.)