id:A088534 - OEIS Search Results

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Number of representations of n by the quadratic form x^2+xy+y^2 with 0<=x<=y.

+0
1

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

	OFFSET	`0,50`
	REFERENCES	`B. C. Berndt,"On a certain theta-function in a letter of Ramanujan from Fitzroy House", Ganita 43 (1992),33-43`
	FORMULA	`a(A003136(n))>0; a(A034020(n))=0`
	PROGRAM	`(PARI) a(n)=sum(i=0, n, sum(j=0, i, if(i^2+i*j+j^2-n, 0, 1)))`
	CROSSREFS	`Cf. A003136, A034020.` `Sequence in context: A025444 A092575 A065335 this_sequence A025441 A109527 A057918` `Adjacent sequences: A088531 A088532 A088533 this_sequence A088535 A088536 A088537`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 16 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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