A293335 Least integer k such that k/2^n > sqrt(1/5).

1, 1, 2, 4, 8, 15, 29, 58, 115, 229, 458, 916, 1832, 3664, 7328, 14655, 29309, 58618, 117235, 234469, 468938, 937875, 1875750, 3751500, 7503000, 15005999, 30011997, 60023993, 120047986, 240095971, 480191942, 960383884, 1920767767, 3841535534, 7683071068

Offset

0,3

Links

Clark Kimberling, Table of n, a(n) for n = 0..1000

Formula

a(n) = ceiling(r*2^n), where r = sqrt(1/5).

a(n) = A293336(n) + 1.

Mathematica

z = 120; r = Sqrt[1/5];
Table[Floor[r*2^n], {n, 0, z}];   (* A293334 *)
Table[Ceiling[r*2^n], {n, 0, z}]; (* A293335 *)
Table[Round[r*2^n], {n, 0, z}]; (* A293336 *)

Crossrefs

Cf. A001633, A293332, A293334, A293336.

Sequence in context: A000078 A176503 A262333 * A344687 A301480 A217777

Adjacent sequences: A293332 A293333 A293334 * A293336 A293337 A293338

Keyword

nonn,easy

Author

Clark Kimberling, Oct 10 2017

Status

approved