A054388 Denominators of coefficients of 1/2^(2n+1) in Newton's series for Pi.

1, 3, 5, 28, 72, 704, 1664, 2560, 17408, 311296, 688128, 3014656, 6553600, 56623104, 121634816, 520093696, 369098752, 7516192768, 79456894976, 111669149696, 704374636544, 5909874999296, 824633720832, 51677046505472

Offset

0,2

Links

Table of n, a(n) for n=0..23.

Eric Weisstein's World of Mathematics, Pi Formulas.

Formula

Pi = 3*sqrt(3)/4 + 24*(1/12 - sum(n >= 2, (2*n-2)!/((n-1)!^2*(2*n-3)*(2*n+1)*2^(4*n-2)))) (Newton)

Crossrefs

Cf. A054387, A000796.

Sequence in context: A307630 A163783 A103526 * A110255 A290330 A300676

Adjacent sequences: A054385 A054386 A054387 * A054389 A054390 A054391

Keyword

nonn

Author

Eric W. Weisstein

Status

approved