

A023019


Number of partitions of n into parts of 21 kinds.


1



1, 21, 252, 2233, 16170, 100926, 560945, 2837418, 13266099, 57994475, 239170239, 937026279, 3507380170, 12601619226, 43628951025, 146036139347, 473924014599, 1494785958435, 4591920193357, 13764656869425, 40328218603134
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

0,2


COMMENTS

a(n) is the Euler transform of A010860.  Alois P. Heinz, Oct 17 2008


LINKS

Table of n, a(n) for n=0..20.
N. J. A. Sloane, Transforms [From Alois P. Heinz, Oct 17 2008]
Index entries for expansions of Product_{k >= 1} (1x^k)^m


MAPLE

with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*21, d=divisors(j)) *a(nj), j=1..n)/n) end: seq (a(n), n=0..40); # Alois P. Heinz, Oct 17 2008


CROSSREFS

Cf. 21st column of A144064.  Alois P. Heinz, Oct 17 2008
Sequence in context: A165095 A165099 A165108 * A036220 A022649 A165094
Adjacent sequences: A023016 A023017 A023018 * A023020 A023021 A023022


KEYWORD

nonn


AUTHOR

David W. Wilson, Jun 14 1998


STATUS

approved



