OFFSET
0,7
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..10000
FORMULA
G.f.: Product_{j>=1} (1-x^(2^j)) / Product_{i>=2} (1-x^i). - Emeric Deutsch, Mar 29 2006
EXAMPLE
a(12) = #{3+3+3+3, 6+3+3, 6+6, 7+5, 9+3, 12} = 6.
From Gus Wiseman, Jan 07 2019: (Start)
The a(3) = 1 through a(14) = 5 integer partitions (A = 10, ..., E = 14):
(3) (5) (6) (7) (53) (9) (A) (B) (C) (D) (E)
(33) (63) (55) (65) (66) (76) (77)
(333) (73) (533) (75) (A3) (95)
(93) (553) (B3)
(633) (733) (653)
(3333) (5333)
(End)
MAPLE
g:= product(1-x^(2^j), j=0..15)/product(1-x^i, i=1..75): gser:= series(g, x=0, 62): seq(coeff(gser, x, n), n=0..59); # Emeric Deutsch, Mar 29 2006
MATHEMATICA
Table[Length[Select[IntegerPartitions[n], And@@Not/@IntegerQ/@Log[2, #]&]], {n, 20}] (* Gus Wiseman, Jan 07 2019 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Reinhard Zumkeller, Jan 16 2005
STATUS
approved