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A365058
E.g.f. satisfies A(x) = exp(x * A(x)^3 * (1 + x/2 * A(x)^3)).
1
1, 1, 8, 130, 3250, 110336, 4744984, 247321096, 15155937500, 1067967873280, 85084447796416, 7562971176299936, 742055168686622872, 79662784245760000000, 9288538211005096189280, 1168938868353871429273216, 157924822350438542185141264
OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..n} (1/2)^(n-k) * (3*n+1)^(k-1) * binomial(k,n-k)/k!.
PROG
(PARI) a(n) = n!*sum(k=0, n, (1/2)^(n-k)*(3*n+1)^(k-1)*binomial(k, n-k)/k!);
CROSSREFS
Cf. A363479.
Sequence in context: A295240 A240630 A187609 * A241076 A349683 A222429
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 19 2023
STATUS
approved