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Number of partitions of n into distinct partition numbers.
2

%I #6 Jan 18 2024 14:58:30

%S 1,2,5,9,17,28,47,72,112,164,242,342,486,668,920,1237,1663,2193,2891,

%T 3750,4861,6218,7944,10037,12664,15827,19749,24444,30204,37057,45391,

%U 55250,67141,81140,97895,117529,140873,168105,200285,237672,281604

%N Number of partitions of n into distinct partition numbers.

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

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

%Y Cf. A000009, A007279.

%K nonn

%O 0,2

%A _Robert G. Wilson v_, Feb 11 2002

%E Offset corrected by _Sean A. Irvine_, Jan 18 2024