|
Search: id:A055636
|
|
|
| A055636 |
|
Excess in prime-power exponents in n!. |
|
+0
1
|
|
| 0, 0, 0, 2, 2, 4, 4, 7, 9, 11, 11, 14, 14, 16, 18, 22, 22, 25, 25, 28, 30, 32, 32, 36, 38, 40, 43, 46, 46, 49, 49, 54, 56, 58, 60, 64, 64, 66, 68, 72, 72, 75, 75, 78, 81, 83, 83, 88, 90, 93, 95, 98, 98, 102, 104, 108, 110, 112, 112, 116, 116, 118, 121, 127, 129, 132, 132
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
FORMULA
|
a(n)=A046660[ n! ]=A046660[ A000142[ n ] ]=A022559[ n ]-A001221[ n! ]=A001222[ n! ]-A000720[ n ]
|
|
EXAMPLE
|
n=46: prime powers in factorization are {42,21,10,6,4,3,2,2,2,1,1,1,1,1}. Sum of the exponents is 97. It has 14 distinct prime divisors, so a(46)=97-14=83.
|
|
CROSSREFS
|
A046660, A000142, A022559, A001221, A001222, A000720.
Sequence in context: A032278 A005308 A056503 this_sequence A034396 A032190 A005852
Adjacent sequences: A055633 A055634 A055635 this_sequence A055637 A055638 A055639
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Labos E. (labos(AT)ana.sote.hu), Jun 07 2000
|
|
|
Search completed in 0.002 seconds
|
