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A293326 The integer k that minimizes |k/2^n - sqrt(3))|. 2
2, 3, 7, 14, 28, 55, 111, 222, 443, 887, 1774, 3547, 7094, 14189, 28378, 56756, 113512, 227023, 454047, 908093, 1816187, 3632374, 7264748, 14529495, 29058991, 58117981, 116235962, 232471924, 464943848, 929887697, 1859775393, 3719550787, 7439101574 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

FORMULA

a(n) = floor(1/2 + r*2^n), where r = sqrt(3).

a(n) = A094386(n) if (fractional part of r*2^n) < 1/2, else a(n) = A293325(n).

MATHEMATICA

z = 120; r = Sqrt[3];

Table[Floor[r*2^n], {n, 0, z}];   (* A094386 *)

Table[Ceiling[r*2^n], {n, 0, z}]; (* A293325 *)

Table[Round[r*2^n], {n, 0, z}]; (* A293326 *)

CROSSREFS

Cf. A002194, A094386, A293325.

Sequence in context: A131300 A078043 A294627 * A262765 A131666 A135258

Adjacent sequences:  A293323 A293324 A293325 * A293327 A293328 A293329

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 09 2017

STATUS

approved

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Last modified April 19 01:29 EDT 2019. Contains 322237 sequences. (Running on oeis4.)