The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A078796 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A078796

a(n) = 2*ceiling(n*tau) - ceiling(n*sqrt(5)) where tau=(1+sqrt(5))/2 is the Golden ratio.
(history; published version)

#14 by N. J. A. Sloane at Wed Aug 17 22:20:29 EDT 2022

STATUS

proposed

approved

#13 by Chai Wah Wu at Wed Aug 17 19:26:03 EDT 2022

STATUS

editing

proposed

#12 by Chai Wah Wu at Wed Aug 17 19:25:59 EDT 2022

PROG

(Python)

from math import isqrt

def A078796(n): return (n+(m:=isqrt(5*n**2))&-2)-m+1 # Chai Wah Wu, Aug 17 2022

STATUS

approved

editing

#11 by Wesley Ivan Hurt at Thu Jul 04 18:47:55 EDT 2019

STATUS

editing

approved

#10 by Wesley Ivan Hurt at Thu Jul 04 18:47:28 EDT 2019

CROSSREFS

Cf. A001950, A005652, A078588.

STATUS

proposed

editing

#9 by Jon E. Schoenfield at Thu Jul 04 17:32:21 EDT 2019

STATUS

editing

proposed

#8 by Jon E. Schoenfield at Thu Jul 04 17:32:19 EDT 2019

NAME

a(n) = 2*ceilceiling(n*tau) -ceil ceiling(n*sqrt(5)) where tau=(1+sqrt(5))/2 is the Golden ratio.

FORMULA

a(A005652(n)) = A005652(n); a(A001950(n)) = A001950(n) + 1.

STATUS

approved

editing

#7 by Harvey P. Dale at Sun Dec 20 15:33:22 EST 2015

STATUS

editing

approved

#6 by Harvey P. Dale at Sun Dec 20 15:33:16 EST 2015

MATHEMATICA

Table[2*Ceiling[n*GoldenRatio]-Ceiling[n*Sqrt[5]], {n, 80}] (* Harvey P. Dale, Dec 20 2015 *)

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:39:11 EDT 2012

AUTHOR

_Benoit Cloitre (benoit7848c(AT)orange.fr), _, Dec 05 2002

Discussion

Fri Mar 30

18:39

OEIS Server: https://oeis.org/edit/global/216