A293334 Greatest integer k such that k/2^n < sqrt(1/5).

0, 0, 1, 3, 7, 14, 28, 57, 114, 228, 457, 915, 1831, 3663, 7327, 14654, 29308, 58617, 117234, 234468, 468937, 937874, 1875749, 3751499, 7502999, 15005998, 30011996, 60023992, 120047985, 240095970, 480191941, 960383883, 1920767766, 3841535533, 7683071067

Offset

0,4

Links

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

Formula

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

a(n) = A293335(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, A293331, A293335, A293336.

Sequence in context: A089074 A125176 A153234 * A266625 A151754 A192065

Adjacent sequences: A293331 A293332 A293333 * A293335 A293336 A293337

Keyword

nonn,easy

Author

Clark Kimberling, Oct 10 2017

Status

approved