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URL: https://oeis.org/A381407

⇱ A381407 - OEIS

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A381407
E.g.f. A(x) satisfies A(x) = exp( x * cosh(x * A(x)^2) ).
1
1, 1, 1, 4, 61, 756, 8581, 125168, 2577849, 60269968, 1469636041, 39496750272, 1212192326005, 41147125079360, 1496063100479949, 58263746530145536, 2447130544401729649, 110270888250759852288, 5279535712822539622033, 267412182631190346232832
OFFSET
0,4
COMMENTS
As stated in the comment of A185951, A185951(n,0) = 0^n.
FORMULA
a(n) = Sum_{k=0..n} (2*n-2*k+1)^(k-1) * A185951(n,k).
PROG
(PARI) a185951(n, k) = binomial(n, k)/2^k*sum(j=0, k, (2*j-k)^(n-k)*binomial(k, j));
a(n) = sum(k=0, n, (2*n-2*k+1)^(k-1)*a185951(n, k));
CROSSREFS
Sequence in context: A132064 A378553 A229666 * A252973 A262654 A218472
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Feb 23 2025
STATUS
approved