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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.
2
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.
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
KEYWORD
base,nonn
AUTHOR
Chuck Seggelin (barkeep(AT)plastereddragon.com), Oct 29 2003
STATUS
approved