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Number of partitions of n such that the largest part is coprime to every other part.
0

%I #3 May 10 2013 12:45:49

%S 1,1,2,3,4,6,7,11,13,18,22,32,37,53,63,82,102,135,161,211,253,320,388,

%T 491,587,735,884,1088,1309,1609,1922,2351,2808,3401,4062,4899,5828,

%U 7013,8326,9955,11800,14074,16627,19760,23300,27575,32450,38296,44935,52876

%N Number of partitions of n such that the largest part is coprime to every other part.

%F G.f.: Sum_{n>=0} x^n/Product_{d | gcd(n,d)=1} (1-x^d).

%K easy,nonn

%O 0,3

%A _Vladeta Jovovic_, Jul 01 2007