|
|
A245041
|
|
Number of partitions of n where the minimal multiplicity of any part is 10.
|
|
2
|
|
|
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 4, 2, 3, 3, 3, 2, 4, 2, 3, 3, 6, 3, 6, 4, 6, 4, 6, 3, 7, 4, 9, 6, 11, 7, 13, 11, 14, 12, 17, 13, 25, 18, 24, 22, 30, 26, 35, 28, 37, 33, 49, 37, 53, 45, 56, 54, 67, 58
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
10,21
|
|
LINKS
|
|
|
MAPLE
|
b:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0,
b(n, i-1, k) +add(b(n-i*j, i-1, k), j=max(1, k)..n/i)))
end:
a:= n-> b(n$2, 10) -b(n$2, 11):
seq(a(n), n=10..100);
|
|
MATHEMATICA
|
b[n_, i_, k_] := b[n, i, k] = If[n == 0, 1, If[i < 1, 0, b[n, i - 1, k] + Sum[b[n - i*j, i - 1, k], {j, Max[1, k], n/i}]]];
a[n_] := b[n, n, 10] - b[n, n, 11];
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|