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

0, 2, 1, 2, 2, 5, 9, 13, 35, 51, 93, 175, 331, 595, 1149, 2182, 4097, 7749, 14780, 28131, 53583, 102372, 196345, 375876, 722743, 1392156, 2684022, 5180823, 10008419, 19368226, 37499404, 72698062, 141064116

Offset

1,2

Comments

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

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

Links

Table of n, a(n) for n=1..33.

A. Karttunen and J. Moyer: C-program for computing the initial terms of this sequence

Index entries for sequences related to occurrences of various subsets of primes in range ]2^n,2^(n+1)]

Crossrefs

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

Sequence in context: A004559 A214968 A340059 * A285003 A364872 A284002

Adjacent sequences: A095288 A095289 A095290 * A095292 A095293 A095294

Keyword

nonn

Author

Antti Karttunen, Jun 04 2004

Status

approved