A293320 - OEIS

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A293320

Least integer k such that k/2^n > tau^2, where tau = (1+sqrt(5))/2 = golden ratio.

3, 6, 11, 21, 42, 84, 168, 336, 671, 1341, 2681, 5362, 10724, 21447, 42894, 85788, 171576, 343151, 686302, 1372604, 2745208, 5490416, 10980831, 21961661, 43923322, 87846644, 175693287, 351386574, 702773148, 1405546296, 2811092591, 5622185181, 11244370362

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OFFSET

0,1

LINKS

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

FORMULA

a(n) = ceiling(r*2^n), where r = (3+sqrt(5))/2.

a(n) = A293319(n) + 1.

MATHEMATICA

z = 120; r = 1+GoldenRatio;

Table[Floor[r*2^n], {n, 0, z}]; (* A293319 *)

Table[Ceiling[r*2^n], {n, 0, z}]; (* A293320 *)