[seqfan] Oresme Numbers
Paul Curtz
bpcrtz at free.fr
Mon Feb 29 11:27:27 CET 2016
Hello,
(Full) Fibonacci numbers F(n)=A000045(n) are an autosequence of the first kind (*).
(Full) Oresme numbers O(n)= n*2^(-n),n>=0,are also an autosequence of the first kind (**):
0, 1/2, 1/2, 3/8, 1/4, 5/32, ...
-1/2, 0, -1/8, -1/8, -3/32, -1/16, -5/128, ...
1/2, -1/8, 0, 1/32, 1/32, 3/128, 1/64, 5/512, ...
etc.
Numerators of O(n): 0 followed by A000265(n+1).
Denominators: 1 followed by A075101(n+1).
(*) Autosuite de nombres - Wikipedia, 2016
(**) A. F. Horadam, Oresme numbers, Fibonacci Quarterly, 12(1974), 267-271.
Best regards
Paul
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