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

Author

Eric W. Weisstein

Keywords

• nonn

Links

• Eric Weisstein's World of Mathematics, Pi Formulas.

Crossrefs

Cf. A054387, A000796.

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)