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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. 0
1, 3, 3, 5, 6, 6, 8, 8, 9, 11, 11, 13, 14, 14, 16, 16, 17, 19, 19, 21, 21, 22, 24, 24, 26, 27, 27, 29, 29, 30, 32, 32, 34, 35, 35, 37, 37, 39, 40, 40, 42, 42, 43, 45, 45, 47, 48, 48, 50, 50, 51, 53, 53, 55, 55, 56, 58, 58, 60, 61, 61, 63, 63, 64, 66, 66, 68, 69, 69, 71, 71, 73 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..72.

FORMULA

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

MATHEMATICA

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

PROG

(PARI) a(n)=2*ceil(n*(1+sqrt(5))/2)-ceil(n*sqrt(5))

CROSSREFS

Cf. A001950, A005652, A078588.

Sequence in context: A134636 A088564 A161560 * A201929 A079789 A131209

Adjacent sequences:  A078793 A078794 A078795 * A078797 A078798 A078799

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Dec 05 2002

STATUS

approved

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Last modified December 2 01:47 EST 2021. Contains 349435 sequences. (Running on oeis4.)