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

0,2

Comments

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

Links

Table of n, a(n) for n=0..51.

Example

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.)

Prog

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

Crossrefs

Cf. A115569.

Sequence in context: A238475 A180878 A146282 * A061041 A248308 A035417

Adjacent sequences: A117908 A117909 A117910 * A117912 A117913 A117914

Keyword

base,nonn

Author

Rick L. Shepherd, Apr 02 2006

Extensions

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

Status

approved