A353706 n appears in A093714 a(n) steps earlier than expected.

0, -1, 1, -1, 1, -1, 1, -1, -2, -4, 3, -4, 3, 2, -3, -5, 4, -5, 4, -5, 1, 3, 6, -5, 3, -1, 1, -5, 5, -7, 3, 1, -1, -5, 5, -7, 5, 3, -1, -5, 5, -9, 5, 3, -3, -1, 5, -5, 5, -5, 5, 3, 1, -5, 5, -1, 1, -3, 5, -5, 3, -1, 1, -3, 5, -5, 3, -1, 1, -3, 5, -5

Offset: 1

Author

N. J. A. Sloane, May 05 2022

Keywords

• sign

Comments

It appears that a positive number n appears in A093714 at about the n-th term; if in fact A093714(k) = n, then a(n) = n - k.

An equivalent definition uses the inverse to A093714: a(n) = n - A093715(n).

Examples

			A093714(8) = 11, so 11 has appeared 3 steps early, therefore a(11) = 11 - 8 = 3.
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program

Crossrefs

Cf. A093714, A093715, A353707.

Programs

PARI

See Links section.