A375872 E.g.f. satisfies A(x) = exp( 4 * (exp(x*A(x)^(3/4)) - 1) ).

1, 4, 44, 836, 22980, 832888, 37615340, 2038258804, 128989219860, 9343113460308, 762596057754748, 69273095355130488, 6932765720797549924, 758009268677055714964, 89907747171907593677068, 11498798927333436173636612, 1577528093912610651931113908

Offset

0,2

Links

Table of n, a(n) for n=0..16.

Formula

E.g.f.: B(x)^4, where B(x) is the e.g.f. of A349683.

a(n) = 4 * Sum_{k=0..n} (3*n+4)^(k-1) * Stirling2(n,k).

Prog

(PARI) a(n) = 4*sum(k=0, n, (3*n+4)^(k-1)*stirling(n, k, 2));

Crossrefs

Cf. A349683, A375870, A375871.

Cf. A078944, A370058.

Sequence in context: A144827 A354260 A337777 * A370058 A144004 A240318

Adjacent sequences: A375869 A375870 A375871 * A375873 A375874 A375875

Keyword

nonn

Author

Seiichi Manyama, Sep 01 2024

Status

approved