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A276868 First differences of the Beatty sequence A276855 for 3 + tau, where tau = golden ratio = (1 + sqrt(5))/2. 4
4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 4, 5, 5, 4, 5, 5, 4, 5, 4, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Clark Kimberling, Table of n, a(n) for n = 1..10000

FORMULA

a(n) = floor(n*r) - floor(n*r - r), where r = 3 + tau, n >= 1.

MATHEMATICA

z = 500; r = 3+GoldenRatio; b = Table[Floor[k*r], {k, 0, z}]; (* A276855 *)

Differences[b] (* A276868 *)

CROSSREFS

Cf. A276855, A276887.

Sequence in context: A046565 A046598 A245078 * A182495 A265300 A223170

Adjacent sequences:  A276865 A276866 A276867 * A276869 A276870 A276871

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Sep 24 2016

STATUS

approved

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Last modified February 28 23:19 EST 2020. Contains 332353 sequences. (Running on oeis4.)