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

Author

Robert G. Wilson v, Feb 11 2002

Keywords

• nonn

Crossrefs

Cf. A000009, A007279.

Programs

Mathematica

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

Formula

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

Extensions

Offset corrected by Sean A. Irvine, Jan 18 2024