|
Search: id:A115628
|
|
|
| A115628 |
|
Factorization of n! into primorials. |
|
+0
2
|
|
| 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 5, 1, 0, 1, 3, 3, 0, 1, 4, 2, 1, 1, 4, 2, 1, 0, 1, 5, 3, 1, 0, 1, 5, 3, 1, 0, 0, 1, 6, 3, 0, 1, 0, 1, 5, 3, 1, 1, 0, 1, 9, 3, 1, 1, 0, 1, 9, 3, 1, 1, 0, 0, 1, 8, 5, 1, 1, 0, 0, 1, 8, 5, 1, 1, 0, 0, 0, 1, 10, 4, 2, 1, 0, 0, 0, 1, 9, 5, 1, 2, 0, 0, 0, 1, 10, 5, 1, 1, 1
(list; graph; listen)
|
|
|
OFFSET
|
2,4
|
|
|
COMMENT
|
Factorial of n has a unique representation as a product of primorials: n! = 2#^T(n,1)*3#^T(n,2)*...*P_{Pi(n)}#^T(n,Pi(n)).
|
|
FORMULA
|
T(n, k) = A115727(n, k)-A115727(n, k+1).
|
|
EXAMPLE
|
Rows start: 1; 0,1; 2,1; 2,0,1; 2,1,1; 2,1,0,1; 5,1,0,1; 3,3,0,1.
|
|
CROSSREFS
|
Cf. A115627, A000142, A002110. Row lengths are A000720.
Sequence in context: A057985 A135387 A127442 this_sequence A114002 A114004 A049986
Adjacent sequences: A115625 A115626 A115627 this_sequence A115629 A115630 A115631
|
|
KEYWORD
|
nonn,tabf
|
|
AUTHOR
|
Frank Adams-Watters (FrankTAW(AT)Netscape.net), Jan 26 2006
|
|
|
Search completed in 0.002 seconds
|
