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A023017 Number of partitions of n into parts of 19 kinds. +0
2
1, 19, 209, 1710, 11495, 66880, 347681, 1649637, 7252300, 29875505, 116319938, 430976031, 1527928814, 5206792965, 17119704425, 54484060983, 168297474675, 505762373795, 1481733152790, 4239676354650, 11866652524496, 32536693623850 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) is Euler transform of A010858. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]

LINKS

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

N. J. A. Sloane, Transforms [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]

MAPLE

with (numtheory): a:= proc(n) option remember; `if`(n=0, 1, add (add (d*19, d=divisors(j)) *a(n-j), j=1..n)/n) end: seq (a(n), n=0..40); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]

CROSSREFS

Cf. 19th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]

Sequence in context: A085770 A002501 A125407 this_sequence A022647 A032613 A099663

Adjacent sequences: A023014 A023015 A023016 this_sequence A023018 A023019 A023020

KEYWORD

nonn

AUTHOR

David W. Wilson (davidwwilson(AT)comcast.net)

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Last modified November 23 10:40 EST 2009. Contains 167421 sequences.


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