[seqfan] Around Oresme numbers

Paul Curtz bpcrtz at free.fr
Tue Mar 1 12:09:16 CET 2016


Hello,

The Oresme numbers O(n) = (reduced) n/2^n, n>=0, are an autosequence of first kind (*).
The corresponding autosequence of second kind (companion) is O2(n) = 1/2^n:
1,      1/2,   1/4,   1/8, ...
-1/2,  -1/4,  -1/8, -1/16, ...
1/4,    1/8,  1/16,  1/32, ...
-1/8, -1/16, -1/32, -1/64, ...
etc.
Denominators by antidiagonals: A137688. See A003506.

2*O(n),reduced or not,is also interesting.

(*) Yesterday mail.


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