A117911 Number of n-digit Lynch-Bell numbers.

0, 9, 5, 30, 67, 84, 248, 105, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 0

Author

Rick L. Shepherd, Apr 02 2006

Keywords

• base
• nonn

Comments

There are 548 Lynch-Bell numbers, listed in A115569; a(n)=0 for n>7.

Examples

			There are no (Lynch-Bell) numbers with zero digits.
The nine one-digit Lynch-Bell numbers are {1, ..., 9}.
The five two-digit Lynch-Bell numbers are {12, 15, 24, 36, 48}.
The seven-digit Lynch-Bell numbers are 105 permutations of (the digits of) 9867312, which is the largest possible Lynch-Bell number. (The digit 5 cannot appear since there is at least one even digit. Replacing any of the given 7 digits by a digit 4 yields numbers not divisible by 9, or not divisible by 3 if the 9 is replaced.)
		

Crossrefs

Cf. A115569.

Programs

PARI

A117911(n)=#A115569_row(n) \\ M. F. Hasler, Jan 31 2016

Extensions

Extended to index 0, and some more zeros appended by M. F. Hasler, Jan 31 2016