login
A237800
Number of partitions of n such that 2*(least part) >= number of parts.
7
1, 2, 2, 3, 3, 5, 5, 8, 9, 12, 14, 19, 21, 27, 32, 39, 45, 56, 64, 78, 90, 107, 124, 148, 169, 199, 229, 268, 306, 357, 406, 471, 536, 617, 701, 805, 910, 1041, 1177, 1341, 1511, 1717, 1931, 2187, 2457, 2773, 3109, 3503, 3918, 4403, 4919, 5514, 6150, 6881
OFFSET
1,2
EXAMPLE
a(7) = 5 counts these partitions: 7, 61, 52, 43, 322.
MATHEMATICA
z = 55; q[n_] := q[n] = IntegerPartitions[n]; t[p_] := Length[p];
Table[Count[q[n], p_ /; 2 Min[p] < t[p]], {n, z}] (* A237758 *)
Table[Count[q[n], p_ /; 2 Min[p] == t[p]], {n, z}] (* A237757 *)
Table[Count[q[n], p_ /; 2 Min[p] > t[p]], {n, z}] (* A237799 *)
Table[Count[q[n], p_ /; 2 Min[p] >= t[p]], {n, z}] (* A237800 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Feb 15 2014
STATUS
approved