A338052 a(n) = A337645(n-1) - n.

0, 3, 6, 5, 4, 3, 2, 1, 0, 7, 8, 7, 6, 5, 8, 7, 6, 5, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, 0, -1, -2, -3, 4, 3, 2, 1, 4, 3, 2, 1, 0, -1, -2, -3, -4, -5, -6, -7, -8, -9, -10, -11, -12, -13, -14, -15, -16, -17, -18, -19, -14, -15, -16, -17, -6, -7, -8, -9, -4, -5, -6, -7, -2, -3, -4, -5, 2, 1, 0

Offset: 2

Author

Scott R. Shannon and N. J. A. Sloane, Oct 11 2020

Keywords

• sign

Comments

Motivation: This is (smallest missing legal number in A336967) - n. For when we are trying to find A336957(n), the smallest legal possibility is A337645(n-1), which appears to grow like n.

However, the conclusion from looking at the graph of the present sequence is that A337645(n) ~ n*(1 - 1/50) or perhaps n*(1 - c/log n) would be a better approximation to A337645.

Links

• N. J. A. Sloane, Table of n, a(n) for n = 2..20001