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A293323 Least integer k such that k/2^n > 1/tau, where tau = (1+sqrt(5))/2 = golden ratio. 3
1, 2, 3, 5, 10, 20, 40, 80, 159, 317, 633, 1266, 2532, 5063, 10126, 20252, 40504, 81007, 162014, 324028, 648056, 1296112, 2592223, 5184445, 10368890, 20737780, 41475559, 82951118, 165902236, 331804472, 663608943, 1327217885, 2654435770, 5308871539 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

FORMULA

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

a(n) = A293322(n) + 1.

MATHEMATICA

z = 120; r = -1+GoldenRatio;

Table[Floor[r*2^n], {n, 0, z}];   (* A293322 *)

Table[Ceiling[r*2^n], {n, 0, z}]; (* A293323 *)

Table[Round[r*2^n], {n, 0, z}];   (* A293324 *)

PROG

(PARI) a(n) = ceil(2^(n-1)*(sqrt(5)-1)); \\ Altug Alkan, Oct 08 2017

CROSSREFS

Cf. A001622, A293313, A293322, A293324.

Sequence in context: A251703 A057755 A262482 * A257113 A076834 A023170

Adjacent sequences:  A293320 A293321 A293322 * A293324 A293325 A293326

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 07 2017

STATUS

approved

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Last modified November 27 12:51 EST 2021. Contains 349394 sequences. (Running on oeis4.)