id:A073749 - OEIS Search Results

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Numerators of the fractional coefficients of the square-root of the prime power series: sum_{n=0..inf} p_n x^n, where p_n is the n-th prime and p_0 is defined to be 1.

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1, 1, 1, 3, 3, 5, 11, 19, 7, 39, 39, 37, 243, 451, -149, 845, 237, 1507, -1569, 8599, -7037, 22543, -27921, 45765, -630845, 1283427, -1552973, 4462097, -6470191, 8313975, -43768763, 67084957, -86965863, 247812897, -351911967, 477950179, -5373020297, 7552589095, -10293397313, 29278400177 (list; graph; listen)

	OFFSET	`0,4`
	FORMULA	`Convolution of sum_{n=0..inf} A073749(n)/A073750(n) x^n yields the prime power series sum_{n=0..inf} p_n x^n, where p_n is the n-th prime and p_0=1.`
	CROSSREFS	`Cf. A073750.` `Sequence in context: A132751 A032020 A084656 this_sequence A146918 A093306 A093309` `Adjacent sequences: A073746 A073747 A073748 this_sequence A073750 A073751 A073752`
	KEYWORD	`easy,frac,sign`
	AUTHOR	`Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2002`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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