[seqfan] a curiosity, about A017979
simon.plouffe at gmail.com
Sun Dec 27 23:45:11 CET 2009
I have this curiosity,
The sequence A017979 when evaluated at exp(-2*Pi)
is equal to
to a precision of 35 decimal digits.
That is : sum(a(n)/exp(2*Pi*n),n=1..infinity), where a(n) = A017979(n).
Can anyone find why ?
recall : A017979, is :
%S A017979 1,1,1,2,2,3,4,5,6,8,10,12,16,20,25,32,40,50,64,80,101,
%T A017979 128,161,203,256,322,406,512,645,812,1024,1290,1625,2048,
%U A017979 2580,3250,4096,5160,6501,8192,10321,13003,16384,20642
%N A017979 Powers of cube root of 2 rounded down.
Curious isn't ?
Cheers and happy new year,
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