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Number of ways n can be written as difference of two distinct partition numbers.
2

%I #3 Mar 30 2012 18:50:45

%S 2,3,1,4,1,2,1,3,1,2,1,2,1,2,2,0,1,0,2,2,2,0,1,1,1,1,2,1,1,0,1,0,0,2,

%T 2,0,1,0,1,1,3,0,0,0,2,0,1,0,1,0,1,0,1,1,3,0,0,1,1,0,0,1,0,0,0,2,0,0,

%U 0,1,1,1,0,1,2,1,0,0,2,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,1,2,1,0,0,0,0,2

%N Number of ways n can be written as difference of two distinct partition numbers.

%C a(A000065(n)) > 0; a(A002865(n)) > 0 for n>2;

%C a(A097746(n)) = 0, a(A097745(n)) > 0.

%e a(27)=2: 27 = 30-3 = A000041(9)-A000041(3) =

%e = 42-15 = A000041(10)-A000041(7).

%Y Cf. A000041.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Aug 23 2004