login
A360075
a(n) is the product of the digits of A007602(n), the n-th Zuckerman number.
1
1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 5, 8, 18, 1, 2, 5, 16, 6, 15, 16, 35, 4, 12, 16, 6, 15, 96, 24, 12, 48, 84, 105, 48, 1, 2, 3, 5, 6, 3, 42, 32, 63, 4, 108, 3, 18, 48, 24, 175, 35, 4, 32, 24, 108, 3, 18, 144, 21, 252, 18, 135, 8, 64, 96, 96, 288, 108, 14, 63
OFFSET
1,2
COMMENTS
Zuckerman numbers (A007602) correspond to numbers divisible by the product of their digits.
LINKS
FORMULA
a(n) = A007954(A007602(n)).
a(n) = A051801(A007602(n)).
a(n) * A288069(n) = A007602(n).
EXAMPLE
For n = 1515:
- A007602(1515) = 11834112,
- so a(1515) = 1*1*8*3*4*1*1*2 = 192.
PROG
(PARI) { for (n=1, 7119, p=vecprod(digits(n)); if (p && n%p==0, print1 (p", "))) }
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Rémy Sigrist, Jan 24 2023
STATUS
approved