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A326986 G.f.: B(x)*B(x^2)*B(x^3)*..., where B(x) is g.f. of A000312. 3
1, 1, 5, 29, 266, 3163, 46994, 827107, 16828741, 388308078, 10017853262, 285720195351, 8926575094978, 303172417424680, 11121259586618456, 438207141286916539, 18458204444260001120, 827690809585441201775, 39365349178064541861252, 1979267564496263599093676 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..386

FORMULA

a(n) ~ n^n.

MAPLE

B:= proc(n) option remember; n^n end:

b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i=1,

      B(n), add(b(j, 1)*b(n-i*j, i-1), j=0..n/i)))

    end:

a:= n-> b(n$2):

seq(a(n), n=0..20);  # Alois P. Heinz, Aug 23 2019

MATHEMATICA

nmax = 20; CoefficientList[Series[Product[1+Sum[k^k*x^(j*k), {k, 1, nmax/j}], {j, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A000312, A096161, A309652, A326985.

Sequence in context: A231712 A215867 A144015 * A228387 A181356 A177440

Adjacent sequences:  A326983 A326984 A326985 * A326987 A326988 A326989

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Aug 10 2019

STATUS

approved

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Last modified September 27 22:36 EDT 2020. Contains 337388 sequences. (Running on oeis4.)