A095269 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,5`
	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)=A095270(n)+1 modulo A004767(n). Cf. A095109, A095271 (same sequence with zeros removed).` `Sequence in context: A035678 A094518 A123074 * A111417 A007271 A035656` `Adjacent sequences: A095266 A095267 A095268 * A095270 A095271 A095272`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (his-firstname.his-surname(AT)iki.fi) and Jun 01 2004`

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Last modified February 16 10:53 EST 2012. Contains 205904 sequences.