OFFSET
0,11
COMMENTS
The g.f. for "number of k's" is (1/2)*(x^k/(1+x^k))*(Product_{n>=1} 1 + x^n) + (1/2)*(x^k/(1-x^k))*(Product_{n>=1} 1 - x^n).
LINKS
Andrew Howroyd, Table of n, a(n) for n = 0..1000
FORMULA
EXAMPLE
a(12) = 2 because the partitions in question are: 6+5+1, 5+4+3.
MATHEMATICA
tn5[n_]:=Module[{op=IntegerPartitions[n], m}, m=Flatten[Select[op, OddQ[ Length[#]] && Length[#]==Length[Union[#]]&]]; Count[m, 5]]; Array[tn5, 60, 0] (* Harvey P. Dale, Feb 06 2015 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Mircea Merca, Feb 20 2014
EXTENSIONS
Terms a(51) and beyond from Andrew Howroyd, Apr 29 2020
STATUS
approved