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Search: id:A068006
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A068006 Number of partitions of n into distinct partition numbers. +0
2
1, 2, 5, 9, 17, 28, 47, 72, 112, 164, 242, 342, 486, 668, 920, 1237, 1663, 2193, 2891, 3750, 4861, 6218, 7944, 10037, 12664, 15827, 19749, 24444, 30204, 37057, 45391, 55250, 67141, 81140, 97895, 117529, 140873, 168105, 200285, 237672, 281604 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: Product_{n>=1} (1/(1-x^A000009(n))).

MATHEMATICA

CoefficientList[ Series[1/Product[1 - x^PartitionsQ[i], {i, 1, 50}], {x, 0, 50}], x]

CROSSREFS

Cf. A000009, A007279.

Sequence in context: A165271 A139672 A093694 this_sequence A000097 A081996 A034329

Adjacent sequences: A068003 A068004 A068005 this_sequence A068007 A068008 A068009

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 11 2002

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


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