OFFSET
0,6
EXAMPLE
a(8) counts these 5 partitions: 71, 62, 53, 521, 431.
MATHEMATICA
z = 70; f[n_] := f[n] = Select[IntegerPartitions[n], Max[Length /@ Split@#] == 1 &];
Table[Count[f[n], p_ /; Max[p] < -1 + 2*Min[p]], {n, 0, z}] (* A241065 *)
Table[Count[f[n], p_ /; Max[p] <= -1 + 2*Min[p]], {n, 0, z}] (* A240874 *)
Table[Count[f[n], p_ /; Max[p] == -1 + 2*Min[p]], {n, 0, z}] (* A241067 *)
Table[Count[f[n], p_ /; Max[p] >= -1 + 2*Min[p]], {n, 0, z}] (* A241068 *)
Table[Count[f[n], p_ /; Max[p] > -1 + 2*Min[p]], {n, 0, z}] (* A241036 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 16 2014
STATUS
approved