A305714 Number of finite sequences of positive integers of length n that are polydivisible and strictly pandigital.

1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1

Offset

0,4

Comments

A sequence q of length k is strictly pandigital if it is a permutation of {1,2,...,k}. It is polydivisible if Sum_{i = 1...m} 10^(m - i) * q_i is a multiple of m for all 1 <= m <= k.

Links

Table of n, a(n) for n=0..10.

Example

Sequence of sets of n-digit numbers that are weakly polydivisible and strictly pandigital is (with A = 10):
  {0}
  {1}
  {12}
  {123,321}
  {}
  {}
  {123654,321654}
  {}
  {38165472}
  {381654729}
  {381654729A}

Crossrefs

Cf. A000670, A010784, A030299, A050289, A143671, A144688, A156069, A156071, A158242, A163574, A240763, A305701, A305712, A305715.

Sequence in context: A101670 A351978 A219491 * A324730 A118683 A175800

Adjacent sequences: A305711 A305712 A305713 * A305715 A305716 A305717

Keyword

nonn,full,base,fini

Author

Gus Wiseman, Jun 08 2018

Status

approved