A088886 Minimum number of consecutive previous nonnegative integers to n that must be concatenated together in ascending order such that n divides the concatenated term, or zero if n divides no such concatenation.

1, 0, 2, 0, 0, 0, 2, 0, 8, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 26, 0, 6, 0, 0, 0, 11, 0, 0, 0, 10, 0, 0, 0, 16, 0, 15, 0, 0, 0, 25, 0, 4, 0, 45, 0, 0, 0, 0, 0, 20, 0, 51, 0, 45, 0, 0, 0, 0, 0, 2, 0, 35, 0, 22, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 81, 0, 0, 0, 6, 0, 0, 0, 0, 0, 66, 0, 0, 0, 13

Offset

1,3

Comments

Concatenation always end at n-1 and cannot start further than n-n (zero). Hence the maximum value of a(n) is n.

Links

Table of n, a(n) for n=1..97.

Example

a(7) = 2 because 7 will divide the number formed by concatenating the 2 integers prior to 7 in ascending order (i.e. 56). a(6) = 0 because 6 will not divide 5, 45, 345, 2345, 12345, or 012345.

Crossrefs

Cf. A088797, A088799, A088868, A088870, A088872, A088885.

Sequence in context: A326067 A318879 A333783 * A317636 A305566 A326813

Adjacent sequences: A088883 A088884 A088885 * A088887 A088888 A088889

Keyword

base,nonn

Author

Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 29 2003

Status

approved