A240873 - OEIS

%I #4 Apr 22 2014 22:16:49

%S 0,0,0,0,0,0,0,1,0,2,1,2,3,3,3,4,4,4,5,4,3,6,4,4,5,3,4,6,4,4,4,4,4,6,

%T 4,3,5,4,4,6,3,4,5,4,4,5,4,4,5,4,3,6,4,4,5,3,4,6,4,4,4,4,4,6,4,3,5,4,

%U 4,6,3,4,5,4,4,5,4,4,5,4,3

%N     Number of partitions p of n into distinct parts such that max(p) = 5 + min(p).

%e a(12) counts these 3 partitions:  732, 651, 6321.

%t z = 40; f[n_] := f[n] = Select[IntegerPartitions[n], Max[Length /@Split@#] == 1 &];

%t Table[Count[f[n], p_ /; Max[p] == 2 + Min[p]], {n, 0, z}] (* A171182 *)

%t Table[Count[f[n], p_ /; Max[p] == 3 + Min[p]], {n, 0, z}] (* A240871 *)

%t Table[Count[f[n], p_ /; Max[p] == 4 + Min[p]], {n, 0, z}] (* A240872 *)

%t Table[Count[f[n], p_ /; Max[p] == 5 + Min[p]], {n, 0, z}] (* A240873 *)

%Y Cf. A171182, A240871, A240872.

%K nonn,easy

%O 0,10

%A _Clark Kimberling_, Apr 15 2014