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A073749 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. 2
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; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..39.

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: A218354 A032020 A084656 * A201866 A191632 A146918

Adjacent sequences:  A073746 A073747 A073748 * A073750 A073751 A073752

KEYWORD

easy,frac,sign

AUTHOR

Paul D. Hanna, Aug 07 2002

STATUS

approved

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Last modified May 22 18:50 EDT 2013. Contains 225561 sequences.