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Number of partitions of T where T=(7*n + 1) if n is even and T=((7*n + 1)/2) if n is odd.
0

%I #5 Nov 21 2013 12:48:44

%S 1,5,176,56,4565,385,63261,1958,614154,8349,4697205,31185,30167357,

%T 105558,169229875,329931,851376628,966467,3913864295,2679689,

%U 16670689208,7089500,66493182097,18004327,250438925115,44108109,896684817527,104651419,3068829878530

%N Number of partitions of T where T=(7*n + 1) if n is even and T=((7*n + 1)/2) if n is odd.

%e If n=12 then P(7*n + 1) = 30167357.

%t Table[If[EvenQ[n],PartitionsP[7n+1],PartitionsP[(7n+1)/2]], {n,0,30}] (* _Harvey P. Dale_, Sep 30 2011 *)

%Y Cf. A111451, A111329.

%K nonn

%O 0,2

%A _Parthasarathy Nambi_, Nov 16 2005

%E More terms from Harvey P. Dale, Sep 30 2011