A363294 - OEIS

A363294

G.f. A(x) satisfies: A(x) = x * exp( A(x)^2/x + A(-x^2)^2/(2*x^2) + A(x^3)^2/(3*x^3) + A(-x^4)^2/(4*x^4) + ... ).

1, 1, 3, 10, 37, 154, 676, 3053, 14187, 67459, 326241, 1599480, 7933272, 39736160, 200700204, 1021052197, 5227501077, 26912956631, 139244637915, 723631840568, 3775598797694, 19770494002049, 103865161431895, 547291750362216, 2891718659119578, 15317429567883000

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..26.

MATHEMATICA

nmax = 26; A[_] = 0; Do[A[x_] = x Exp[Sum[A[-(-x)^k]^2/(k x^k), {k, 1, nmax}]] + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] // Rest

CROSSREFS

Cf. A005750, A005754, A045648, A363293.

Sequence in context: A005493 A138378 A250307 * A289990 A370369 A123636

Adjacent sequences: A363291 A363292 A363293 * A363295 A363296 A363297

KEYWORD

nonn

AUTHOR

Ilya Gutkovskiy, May 26 2023

STATUS

approved