

A073750


Factors of 2 in the denominators of the fractional coefficients of the squareroot of the prime power series: sum_{n=0..inf} p_n x^n, where p_n is the nth 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
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OFFSET

0,7


COMMENTS

Are all the denominators exact powers of 2?


LINKS



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 nth 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



KEYWORD

easy,frac,nonn


AUTHOR



STATUS

approved



