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%I #161 Dec 28 2021 23:10:35
%S 8,81,816,8165,81654,816543,8165432,81654327
%N N-digit substring of 81654327 taken from the left.
%C 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.
%e 8 = 2 * 4.
%e 81 = 3 * 27.
%e 816 = 4 * 204.
%e 8165 = 5 * 1633.
%e 81654 = 6 * 13609.
%e 816543 = 7 * 116649.
%e 8165432 = 8 * 1020679.
%e 81654327 = 9 * 9072703.
%Y Cf. A111456, A156071, A305714.
%K nonn,full,fini,base
%O 1,1
%A _Seiichi Manyama_, Sep 01 2019