A205134 s(k)-s(j), where (s(k),s(j)) is the least such pair for which n divides their difference, and s(j)=2*j^2-j, the j-th hexagonal number.
5, 14, 9, 44, 5, 30, 14, 152, 9, 30, 22, 60, 13, 14, 30, 560, 17, 90, 38, 60, 21, 22, 46, 216, 25, 78, 27, 140, 29, 30, 62, 2144, 33, 102, 105, 108, 37, 38, 39, 280, 41, 210, 86, 44, 90, 46, 94, 624, 147, 350, 51, 156, 53, 54, 165, 280, 114, 174, 118, 60
Offset: 1
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Mathematica
(See the program at A205130.)
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