|
| |
|
|
A055460
|
|
Number of distinct prime factors in power power factorization of n! which have odd exponents.
|
|
2
| |
|
|
0, 1, 2, 2, 3, 1, 2, 3, 3, 1, 2, 3, 4, 4, 4, 4, 5, 4, 5, 4, 6, 6, 7, 5, 5, 5, 6, 5, 6, 5, 6, 7, 9, 7, 7, 7, 8, 8, 8, 8, 9, 10, 11, 10, 9, 7, 8, 7, 7, 8, 10, 9, 10, 8, 10, 12, 14, 12, 13, 11, 12, 12, 11, 11, 13, 12, 13, 12, 12, 13, 14, 13, 14, 14, 15, 14, 14, 11, 12, 13, 13, 13, 14, 16, 16, 14
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,3
|
|
|
COMMENTS
| The corresponding prime powers are helpful to compute largest square and squarefree part of n!.
|
|
|
EXAMPLE
| n = 100, the exponent set is:{97,48,24,16,9,7,5,5,4,3,3,2,2,2,2,1,1,1,1,1,1,1,1,1,1}, 17 odd values arise:{97,9,7,5,5,3,3,1,1,1,1,1,1,1,1,1,1}, so a(100) = 17.
|
|
|
CROSSREFS
| A000142, A007913, A008833.
Sequence in context: A054707 A166269 A182910 * A067514 A115323 A089282
Adjacent sequences: A055457 A055458 A055459 * A055461 A055462 A055463
|
|
|
KEYWORD
| nonn
|
|
|
AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Jun 26 2000
|
| |
|
|
