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A023012 Number of partitions of n into parts of 14 kinds. +0
2
1, 14, 119, 770, 4165, 19754, 84602, 333608, 1228080, 4263770, 14071827, 44420796, 134793918, 394805110, 1119974875, 3086034350, 8280022023, 21678277754, 55486209625, 139065013640, 341779759755, 824753397814, 1956347387428 (list; graph; listen)
OFFSET

0,2

COMMENT

a(n) is Euler transform of A010853. [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*14, 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. 14th column of A144064. [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Oct 17 2008]

Sequence in context: A138431 A006223 A091303 this_sequence A073383 A022642 A004312

Adjacent sequences: A023009 A023010 A023011 this_sequence A023013 A023014 A023015

KEYWORD

nonn

AUTHOR

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

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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