A324016 N-digit substring of 81654327 taken from the left.

8, 81, 816, 8165, 81654, 816543, 8165432, 81654327

Offset: 1

Author

Seiichi Manyama, Sep 01 2019

Keywords

• nonn
• full
• fini
• base

Comments

A sequence q of length k is strictly pandigital if it is a permutation of {1,2,...,k}. Consider a strictly pandigital sequence q such that Sum_{i=1..m} 10^(m - i) * q_i is a multiple of m+1 for all 1 <= m <= k. Except for 21 and 81654327, there is no such sequence for k <= 30.

Examples

			8        = 2 * 4.
81       = 3 * 27.
816      = 4 * 204.
8165     = 5 * 1633.
81654    = 6 * 13609.
816543   = 7 * 116649.
8165432  = 8 * 1020679.
81654327 = 9 * 9072703.
		

Crossrefs

Cf. A111456, A156071, A305714.