OFFSET
1,5
EXAMPLE
The a(1) = 1 through a(12) = 6 partitions (A = 10, B = 11, C = 12):
(1) (2) (3) (4) (5) (6) (7) (8) (9) (A) (B) (C)
(32) (42) (43) (53) (54) (64) (65) (75)
(52) (62) (63) (73) (74) (84)
(72) (82) (83) (93)
(531) (92) (A2)
(731) (642)
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], UnsameQ@@#&&IntegerQ[Mean[2^(#-1)]]&]], {n, 30}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Gus Wiseman, Jul 17 2019
STATUS
approved