A004715 Positions of ones in binary expansion of arctan(1/2)/Pi.

3, 6, 8, 9, 10, 13, 21, 23, 27, 28, 29, 31, 32, 35, 36, 37, 39, 40, 41, 42, 43, 46, 47, 52, 57, 58, 61, 62, 65, 67, 69, 70, 72, 76, 80, 81, 82, 83, 85, 86, 88, 89, 91, 92, 94, 96, 97, 98, 102, 103, 105, 107, 111, 112

Offset

1,1

References

Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 430-433.

Links

T. D. Noe, Table of n, a(n) for n=1..1000

J. M. Borwein and R. Girgensohn, Addition theorems and binary expansions, Canadian J. Math. 47 (1995) 262-273.

Steven R. Finch, Plouffe's Constant. [Broken link]

Steven R. Finch, Plouffe's Constant. [From the Wayback machine]

Simon Plouffe, The Computation of Certain Numbers Using a Ruler and Compass, J. Integer Seq., Vol. 1 (1998), Article 98.1.3.

Eric Weisstein's World of Mathematics, Plouffe's Constant.

Mathematica

Position[Join[{0, 0}, RealDigits[ArcTan[1/2]/Pi, 2, 120][[1]]], 1] // Flatten (* Amiram Eldar, May 22 2023 *)

Crossrefs

Cf. A028999.

Sequence in context: A265227 A201817 A299240 * A280272 A190234 A036558

Adjacent sequences: A004712 A004713 A004714 * A004716 A004717 A004718

Keyword

nonn,base

Author

Simon Plouffe

Status

approved