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A068006 Number of partitions of n into distinct partition numbers. 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; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..41.

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: A326473 A326598 A093694 * A000097 A327285 A081996

Adjacent sequences:  A068003 A068004 A068005 * A068007 A068008 A068009

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Feb 11 2002

STATUS

approved

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Last modified May 12 03:54 EDT 2021. Contains 343810 sequences. (Running on oeis4.)