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 A073750 Factors of 2 in the denominators 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. 3
 0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4, 7, 7, 7, 8, 8, 8, 10, 10, 10, 11, 11, 11, 15, 15, 15, 16, 16, 16, 18, 18, 18, 19, 19, 19, 22, 22, 22, 23, 23, 23, 25, 25, 25, 26, 26, 26, 31, 31, 31, 32, 32, 32, 34, 34, 34, 35, 35, 35, 38, 38, 38, 39, 39, 39, 41, 41, 41, 42, 42, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,7 COMMENTS Are all the denominators exact powers of 2? LINKS Table of n, a(n) for n=0..71. FORMULA Convolution of sum_{n=0..inf} A073749(n)/[D_n*2^{a(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 and where D_n is a positive integer; D_n for the first 60 terms is 1 (is it always equal to 1?). CROSSREFS Cf. A073749. Sequence in context: A105590 A220845 A361469 * A270059 A120204 A177018 Adjacent sequences: A073747 A073748 A073749 * A073751 A073752 A073753 KEYWORD easy,frac,nonn AUTHOR Paul D. Hanna, Aug 07 2002 STATUS approved

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Last modified June 5 01:39 EDT 2023. Contains 363130 sequences. (Running on oeis4.)