|
| |
|
|
A111389
|
|
Numbers n such that P(3n) is prime, where P(n) is the number of partitions of n.
|
|
14
| |
|
|
1, 2, 12, 44, 56, 62, 72, 122, 139, 166, 175, 182, 245, 251, 275, 362, 432, 526, 712, 831, 834, 836, 856, 909, 957, 1009, 1056, 1114, 1554, 2266, 2486, 2816, 3967, 4340, 5416, 6092, 6837, 6959, 7215, 7255, 7439, 7734, 9655, 10200, 11080, 11324, 11361, 12819
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,2
|
|
|
FORMULA
| Elements of A046063 which are == 0 (mod 3) divided by 3
|
|
|
EXAMPLE
| If n=72 then P(3*n) = 15285151248481 (prime).
|
|
|
MATHEMATICA
| Select[ Range[13370], PrimeQ[ PartitionsP[3# ]] &] (* Robert G. Wilson v *)
|
|
|
CROSSREFS
| Cf. A000041, A046063, A114165, A111389, A111045, A114166, A111036, A114167, A114168, A114169, A114170.
Sequence in context: A001621 A189491 A055681 * A203278 A013704 A025495
Adjacent sequences: A111386 A111387 A111388 * A111390 A111391 A111392
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Parthasarathy Nambi (PachaNambi(AT)yahoo.com), Nov 09 2005
|
|
|
EXTENSIONS
| a(8)-a(48) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 11 2005
|
| |
|
|
