id:A103612 - OEIS Search Results

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Number of solutions to 5+B^2=p^2+q^2 with B=2n, p,q>0 and 2p^2<5+B^2.

+0
1

1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0 (list; graph; listen)

	OFFSET	`0,16`
	COMMENT	`The number of matrices with entries in Z to G^2=G+1 not of the form gI or g'I (g, the golden number, and g'=1-g are the solutions to x^2=x+1), hence of the form (1+p q-B \| q+B 1-p) with p^2+q^2=5+B^2 is given by 8a(n) for n!=1 and by 4a(1)=4 for n=1.`
	EXAMPLE	`a(0)=1 because 5+0^2=5=1^2+2^2. a(15)=2 because 5+30^2=905=8^2+29^2=11^2+28^2.`
	CROSSREFS	`Cf. A104768.` `Sequence in context: A091970 A093955 A081603 this_sequence A083913 A023670 A126030` `Adjacent sequences: A103609 A103610 A103611 this_sequence A103613 A103614 A103615`
	KEYWORD	`easy,nonn`
	AUTHOR	`Michele Dondi (blazar(AT)lcm.mi.infn.it), Mar 24 2005`

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Last modified September 7 15:23 EDT 2008. Contains 143483 sequences.

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