A095269 Diving index of 4n+3.

0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 10, 0, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 10, 0, 7, 0, 3, 0, 7, 7, 0, 0, 3, 0, 8, 0, 8, 0, 3, 0, 0, 0, 11, 0, 3, 0, 34, 0, 8, 19, 3, 0, 10, 13, 61, 0, 3, 0, 0, 7, 0, 0, 3, 0, 7, 0, 8, 0, 3, 0, 10, 0, 0, 0, 3, 0, 32, 0, 7, 0, 3, 0, 58, 0, 7, 0, 3, 0, 0

Offset: 0

Author

Antti Karttunen, Jun 01 2004

Keywords

• nonn

Comments

Diving index of an odd number n is the first integer u > 1 where Sum_{i=1..u} J(i/n) results -1 and zero if never. Here J(i/n) is Jacobi symbol of i and n, which reduces to a Legendre symbol L(i/n) when n is a prime.

Links

• Antti Karttunen and J. Moyer, C-program for computing the initial terms of this sequence

Crossrefs

Cf. A004767, A095270, A095109, A095271 (same sequence with zeros removed).

Formula

a(n) = A095270(n)+1 modulo A004767(n).