|
|
A171966
|
|
Number of partitions of n having no more odd than even parts.
|
|
42
|
|
|
1, 0, 1, 1, 2, 3, 4, 6, 8, 12, 15, 21, 28, 37, 49, 63, 83, 105, 138, 171, 223, 275, 353, 433, 551, 673, 846, 1031, 1282, 1558, 1922, 2327, 2848, 3440, 4179, 5032, 6078, 7293, 8763, 10482, 12534, 14943, 17797, 21146, 25090, 29719, 35138, 41493, 48908, 57578
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
0,5
|
|
COMMENTS
|
|
|
LINKS
|
|
|
MAPLE
|
b:= proc(n, i, t) option remember; `if`(n=0,
`if`(t<=0, 1, 0), `if`(i<1, 0, b(n, i-1, t)+
`if`(i>n, 0, b(n-i, i, t+(2*irem(i, 2)-1)))))
end:
a:= n-> b(n$2, 0):
|
|
MATHEMATICA
|
$RecursionLimit = 1000; b[n_, i_, t_] := b[n, i, t] = If[n == 0, If[t <= 0, 1, 0], If[i<1, 0, b[n, i-1, t] + If[i>n, 0, b[n-i, i, t+(2*Mod[i, 2]-1)]]]]; a[n_] := b[n, n, 0]; Table[a[n], {n, 0, 80}] (* Jean-François Alcover, Jun 30 2015, after Alois P. Heinz *)
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|