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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
OFFSET
1,1
LINKS
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
Sequence in context: A046565 A046598 A245078 * A182495 A372447 A265300
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Sep 24 2016
STATUS
approved