|
|
A193375
|
|
E.g.f.: A(x) = exp( Sum_{n>=1} x^(n*(n+1)/2) ).
|
|
3
|
|
|
1, 1, 1, 7, 25, 61, 1201, 7771, 30577, 514585, 8089921, 63701551, 832599241, 14055894997, 137066892145, 3084240161731, 70859008063201, 849408115312561, 15997591979202817, 358582896987674455, 6017079190150763641, 209473179919282488301
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,4
|
|
LINKS
|
|
|
EXAMPLE
|
E.g.f.: A(x) = 1 + x + x^2/2! + 7*x^3/3! + 25*x^4/4! + 61*x^5/5! +...
where
log(A(x)) = x + x^3 + x^6 + x^10 + x^15 + x^21 +...
|
|
PROG
|
(PARI) {a(n)=n!*polcoeff(exp(sum(m=1, sqrtint(2*n+1), x^(m*(m+1)/2)+x*O(x^n))), n)}
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|