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A095291 Number of upper Wythoff primes (A095281) in range ]2^n,2^(n+1)]. 1

%I #7 Mar 31 2012 14:02:26

%S 0,2,1,2,2,5,9,13,35,51,93,175,331,595,1149,2182,4097,7749,14780,

%T 28131,53583,102372,196345,375876,722743,1392156,2684022,5180823,

%U 10008419,19368226,37499404,72698062,141064116

%N Number of upper Wythoff primes (A095281) in range ]2^n,2^(n+1)].

%C As expected, the ratio of a(n)/A036378(n) seems to approach 1-((sqrt(5)-1)/2) (= 0.381966011250...): 0, 1, 0.5, 0.4, 0.285714, 0.384615, 0.391304, 0.302326, 0.466667, 0.372263, 0.364706, 0.377155, 0.379587, 0.369107, 0.379208, 0.382204, 0.381152, 0.380039, 0.382555, 0.382287, 0.381819, 0.381677, 0.382211, 0.381283, 0.381572, 0.381858, 0.381943, 0.382013, 0.381895, 0.382035, 0.381935, 0.381947, 0.381953

%C Also expected, the ratio a(n)/A095061(n) seems to approach 1: 1, 0, 0, 1, 0.5, 1.25, 1.28571, 0.72222, 1.4, 0.94444, 0.88571, 0.98315, 0.99699, 0.93407, 0.98627, 0.99453, 0.98462, 0.9973, 0.99865, 1.0011, 1.00108, 0.99979, 1.00208, 0.99622, 0.99835, 1.00039, 0.99973, 1.00046, 0.99983, 1.00031, 0.99994, 0.99994, 1.00001

%H A. Karttunen and J. Moyer: <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>

%H <a href="/index/Pri#primesubsetpop2">Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]</a>

%Y a(n) = A036378(n)-A095290(n). Cf. A095061, A095290.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 04 2004

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Last modified September 13 20:16 EDT 2024. Contains 375910 sequences. (Running on oeis4.)