A095104 - OEIS

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A095104

Diving index of the n-th 4k+3 prime (A002145(n)).

0, 0, 0, 3, 0, 0, 3, 0, 0, 3, 0, 0, 0, 0, 7, 7, 0, 3, 0, 3, 0, 11, 0, 0, 3, 13, 61, 0, 0, 0, 0, 3, 3, 0, 3, 7, 0, 45, 3, 0, 0, 0, 0, 7, 7, 35, 0, 7, 35, 3, 0, 3, 3, 0, 3, 15, 0, 0, 3, 15, 3, 0, 0, 7, 3, 0, 45, 3, 0, 0, 3, 3, 7, 7, 0, 3, 0, 3, 0, 3, 0, 0, 7, 7, 0, 0, 0, 67, 0, 0, 3, 0 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,4`
	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	`A. Karttunen and J. Moyer, C-program for computing the initial terms of this sequence`
	CROSSREFS	`a(n)=A095105(n)+1 modulo A002145(n). Cf. A095106, A095108 (same sequence with zeros removed), A095269.` `Sequence in context: A156548 A112883 A117138 * A021337 A033685 A063691` `Adjacent sequences: A095101 A095102 A095103 * A095105 A095106 A095107`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (his-firstname.his-surname(AT)iki.fi), Jun 01 2004`

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Last modified February 15 13:16 EST 2012. Contains 205794 sequences.