0,2

Let R(n,x) be the e.g.f. of row n of square table A145080, then the

e.g.f.s satisfy: R(n,x) = exp( n*Integral R(n+1,x) dx ) for n>=1.

E.g.f.: A(x) = R(4,x) = exp( 4*Integral R(5,x) dx ) where R(n,x) is the e.g.f. of row n of square table A145080.

E.g.f.: A(x) = G(x)^4 where G(x) is the e.g.f. of A145089, which is row 4 of square table A145085.

(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], 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]^4, n, x)}

Cf. A145080, A145081, A145082, A145083; A145085, A145089.

Sequence in context: A008546 A024253 A052746 this_sequence A098629 A070780 A132687

Adjacent sequences: A145081 A145082 A145083 this_sequence A145085 A145086 A145087

nonn

Paul D. Hanna (pauldhanna(AT)juno.com), Oct 01 2008