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 A276863 First differences of the Beatty sequence A276854 for 1 + sqrt(5). 4

%I

%S 3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,

%T 3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,

%U 3,3,3,3,4,3,3,3,4,3,3,3,4,3,3,3,4,3

%N First differences of the Beatty sequence A276854 for 1 + sqrt(5).

%H Clark Kimberling, <a href="/A276863/b276863.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = floor(n*r) - floor(n*r - r), where r = 1 + sqrt(5), n >= 1.

%F a(n) = A188187(n) + 3, as follows right from the definitions. - _Michel Dekking_, Sep 02 2019

%t z = 500; r = 1+Sqrt[5]; b = Table[Floor[k*r], {k, 0, z}]; (* A276854 *)

%t Differences[b] (* A276863 *)

%Y Cf. A188187, A276854, A276881.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, Sep 24 2016

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Last modified September 30 18:12 EDT 2020. Contains 337440 sequences. (Running on oeis4.)