A175690 a(n) is the least number such that k = n*a(n) has sum of digits n and ends with the digit string n, or 0 if no such number exists.

1, 1, 1, 1, 1, 1, 1, 1, 1, 91, 0, 76, 901, 451, 61, 226, 901, 51, 901, 496, 901, 451, 3601, 826, 397, 1801, 701, 676, 2701, 3331, 18901, 12151, 0, 5851, 8281, 2776, 2701, 12601, 5101, 49996, 72901, 70951, 69301, 22726, 22221, 102151, 101701, 62476, 61201

Offset

1,10

Links

Table of n, a(n) for n=1..49.

Example

a(13) = 901 because 13 * 901 = 11713, and 1+1+7+1+3 = 13 and 11713 ends with the string "13".

Crossrefs

Sequence in context: A252093 A172756 A306304 * A368433 A283896 A284439

Adjacent sequences: A175687 A175688 A175689 * A175691 A175692 A175693

Keyword

base,nonn

Author

Claudio Meller, Aug 09 2010

Status

approved