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A309955 a(n) = [x^n] (1 + p(x))^n, where p(x) is the g.f. of A000040. 3
1, 2, 10, 59, 362, 2287, 14707, 95762, 629386, 4166627, 27743445, 185602188, 1246543559, 8399791922, 56762121398, 384513835219, 2610322687850, 17753944125159, 120954505004605, 825274753259894, 5638438272353597, 38569743775323134, 264127692090124488 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1185

MAPLE

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

      (h-> add(b(j, h)*b(n-j, i-h), j=0..n))(iquo(i, 2))))

    end:

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

seq(a(n), n=0..31);

CROSSREFS

Cf. A000040, A008485, A008578, A025174, A292871, A309950, A340990.

Sequence in context: A124964 A026132 A226996 * A340987 A186758 A262910

Adjacent sequences:  A309952 A309953 A309954 * A309956 A309957 A309958

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Aug 24 2019

STATUS

approved

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Last modified August 3 20:28 EDT 2021. Contains 346441 sequences. (Running on oeis4.)