|
|
A145087
|
|
Row 2 of square table A145085.
|
|
5
|
|
|
1, 1, 4, 31, 373, 6250, 136711, 3740137, 124143598, 4887140221, 224203589593, 11819532185476, 707883494843341, 47708648339054629, 3589347850731252292, 299381557667730507907, 27518788652896695773041
(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
|
|
|
FORMULA
|
E.g.f.: A(x) = S(2,x) = exp( Integral S(3,x)^3 dx ) where S(n,x) is the e.g.f. of row n of square table A145085.
E.g.f.: A(x) = R(2,x)^(1/2) = exp( Integral R(3,x) dx ) where R(2,x) = e.g.f. of A145082 and R(3,x) = e.g.f. of A145083.
|
|
PROG
|
(PARI) {a(n)=local(A=vector(n+3, j, 1+j*x)); for(i=0, n+2, for(j=0, n, m=n+2-j; A[m]=exp(m*intformal(A[m+1]+x*O(x^n))))); n!*polcoeff(A[2]^(1/2), n, x)}
(PARI) {a(n)=local(A=vector(n+3, j, 1+j*x)); for(i=0, n+2, for(j=0, n, m=n+2-j; A[m]=exp(intformal(A[m+1]^(m+1)+x*O(x^n))))); n!*polcoeff(A[2], n, x)}
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|