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Number of partitions of n in which all parts are >= 2 and the largest part occurs at least five times.
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%I #8 Jun 13 2012 17:44:44

%S 1,0,1,0,1,1,1,1,2,1,3,2,3,3,5,4,6,6,8,8,12,10,15,15,19,21,26,26,34,

%T 36,45,47,59,61,76,83,97,107,128,137,165,179,210,231,271,296,345,380,

%U 438,485,561,614,708,783,893,991,1129,1246,1420,1572,1781

%N Number of partitions of n in which all parts are >= 2 and the largest part occurs at least five times.

%F a(n) = A186445(n) - 2*A186445(n-1) + A186445(n-2).

%F G.f.: (1-x)*Product_{k>4} 1/(1-x^k)

%e For n = 20 we have three partitions: {[4+4+4+4+4], [3+3+3+3+3+3+2], [2+2+2+2+2+2+2+2+2+2]}, so a(20) = 3.

%Y Cf. A000041, A186445, A213423.

%K nonn

%O 10,9

%A _Mircea Merca_, Jun 11 2012