A360075 a(n) is the product of the digits of A007602(n), the n-th Zuckerman number.

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

Author

Rémy Sigrist, Jan 24 2023

Keywords

• nonn
• base

Comments

Zuckerman numbers (A007602) correspond to numbers divisible by the product of their digits.

Examples

			For n = 1515:
- A007602(1515) = 11834112,
- so a(1515) = 1*1*8*3*4*1*1*2 = 192.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A007602, A007954, A051801, A288069, A325454.

Programs

PARI

{ for (n=1, 7119, p=vecprod(digits(n)); if (p && n%p==0, print1 (p", "))) }

Formula

a(n) = A007954(A007602(n)).

a(n) = A051801(A007602(n)).

a(n) * A288069(n) = A007602(n).