A068006 Number of partitions of n into distinct partition numbers.

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

Offset

0,2

Links

Table of n, a(n) for n=0..40.

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: A326598 A093694 A366738 * A000097 A327285 A081996

Adjacent sequences: A068003 A068004 A068005 * A068007 A068008 A068009

Keyword

nonn

Author

Robert G. Wilson v, Feb 11 2002

Extensions

Offset corrected by Sean A. Irvine, Jan 18 2024

Status

approved