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A023019 Number of partitions of n into parts of 21 kinds. 2
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

Seiichi Manyama, Table of n, a(n) for n = 0..1000

N. J. A. Sloane, Transforms [From Alois P. Heinz, Oct 17 2008]

Index entries for expansions of Product_{k >= 1} (1-x^k)^m

MAPLE

with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*21, d=divisors(j)) *a(n-j), 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

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Last modified December 6 15:25 EST 2016. Contains 278781 sequences.