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A293320 Least integer k such that k/2^n > tau^2, where tau = (1+sqrt(5))/2 = golden ratio. 3
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 (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) = 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 *)

Table[Round[r*2^n], {n, 0, z}];   (* A293321 *)

PROG

(MAGMA) [Ceiling((2^n*(3+Sqrt(5)))/2): n in [0..33]]; // Vincenzo Librandi, Oct 08 2017

CROSSREFS

Cf. A001622, A293313, A293319, A293321.

Sequence in context: A261392 A251655 A132658 * A024495 A293066 A104253

Adjacent sequences:  A293317 A293318 A293319 * A293321 A293322 A293323

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 07 2017

STATUS

approved

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Last modified November 19 05:29 EST 2018. Contains 317333 sequences. (Running on oeis4.)