|
| |
|
|
A067618
|
|
Number of self-conjugate partitions of n into prime parts.
|
|
0
| |
|
|
1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 4, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 1, 3, 0, 0, 0, 5, 0, 0, 1, 6, 0, 0, 0, 3, 0, 0, 0, 5, 0, 0, 0, 6, 0, 0, 1, 5, 0, 0, 0, 7, 0, 0, 0, 9, 0, 0, 0, 5, 0
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,26
|
|
|
MATHEMATICA
| f[0, m_, k_] := 1; f[n_, 0, k_] := If[n==0, 1, 0]; f[n_, m_, k_] := If[n<0||m<0, 0, Module[{r}, f[n, m, k]=f[n, m-1, k]+If[PrimeQ[m+k], Sum[If[PrimeQ[r+k], f[n-r(2m-r), m-r-1, k+r], 0], {r, 1, m}], 0]]]; a[n_] := f[n, Floor[n/4]+1, 0]; (* f[n, m, k] = number of self-conjugate partitions of n with parts <= m such that every part+k is prime *)
|
|
|
CROSSREFS
| Cf. A000700, A000701, A046682.
Sequence in context: A101436 A056170 A059483 * A055029 A126812 A008442
Adjacent sequences: A067615 A067616 A067617 * A067619 A067620 A067621
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Naohiro Nomoto (n_nomoto(AT)yabumi.com), Feb 01 2002
|
|
|
EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Feb 11 2002
|
| |
|
|
