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A320608 Number of parts in all partitions of n in which no part occurs more than five times. 3
1, 3, 6, 12, 20, 29, 47, 71, 104, 150, 213, 292, 405, 547, 736, 977, 1292, 1688, 2198, 2834, 3638, 4636, 5890, 7431, 9347, 11684, 14564, 18067, 22348, 27531, 33813, 41378, 50504, 61438, 74561, 90208, 108896, 131096, 157485, 188717, 225682, 269285, 320691 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..5000

FORMULA

a(n) ~ log(6) * exp(Pi*sqrt(5*n)/3) / (2 * Pi * 5^(1/4) * n^(1/4)). - Vaclav Kotesovec, Oct 18 2018

MAPLE

b:= proc(n, i) option remember; `if`(n=0, [1, 0], `if`(5*i*(i+1)/2<n, 0, add(

      (l-> [0, l[1]*j]+l)(b(n-i*j, min(n-i*j, i-1))), j=0..min(n/i, 5))))

    end:

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

seq(a(n), n=1..50);

CROSSREFS

Column k=5 of A210485.

Cf. A219601.

Sequence in context: A308722 A320192 A160732 * A246147 A066140 A200067

Adjacent sequences:  A320605 A320606 A320607 * A320609 A320610 A320611

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 17 2018

STATUS

approved

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Last modified October 23 09:45 EDT 2019. Contains 328345 sequences. (Running on oeis4.)