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Characteristic function of primes of form 4n+3 (1 if n is prime of form 4n+3, 0 otherwise).

+0
4

0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Let M(n) denote the n X n matrix m(i,j)=0 if n divides ij-1, m(i,j) = 1 otherwise then det(M(n))=+1 if and only if n is prime ==3 (mod 4).` `a(A002145(n)) = 1; a(A145395(n)) = 0. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 12 2008]`
	LINKS	`Index entries for characteristic functions`
	PROGRAM	`(PARI) { a(n)=isprime(n)*if(n%4-3, 0, 1) }; vector(100, n, a(n))`
	CROSSREFS	`Cf. A002145.` `Sequence in context: A123740 A129272 A059648 this_sequence A073059 A156729 A049320` `Adjacent sequences: A079258 A079259 A079260 this_sequence A079262 A079263 A079264`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Feb 04 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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