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

Author

Gus Wiseman, Jun 08 2018

Keywords

• nonn
• full
• base
• fini

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.

Examples

			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.