A095297 Number of A095287-primes in range ]2^n,2^(n+1)].

0, 1, 0, 2, 2, 8, 7, 22, 27, 68, 80, 235, 343, 844, 1180, 2849, 4473, 10138, 15387, 37023, 58714, 134477, 213397, 494625, 802311, 1829183, 2965114, 6789809, 11185644, 25412867, 42048314, 95440507, 159433693

Offset

1,4

Comments

Ratios a(n)/A036378(n) converge as: 0, 0.5, 0, 0.4, 0.285714, 0.615385, 0.304348, 0.511628, 0.36, 0.49635, 0.313725, 0.506466, 0.393349, 0.523573, 0.389439, 0.499037, 0.416132, 0.497205, 0.398266, 0.503126, 0.418382, 0.501376, 0.415405, 0.501741, 0.42358, 0.501731, 0.421943, 0.500653, 0.426814, 0.501264, 0.428266, 0.501433, 0.431691

Ratios a(n)/A095334(n) converge as: 1, 1, 1, 0.666667, 0.666667, 1.6, 1.75, 1.047619, 0.84375, 0.985507, 0.833333, 1.026201,1.023881, 1.098958, 1.057348, 0.996154, 1.023336, 0.98888, 0.993351,1.012581, 1.011595, 1.005518, 1.016781, 1.006987, 1.008436, 1.006948,1.004514, 1.002615, 1.003668, 1.00507, 1.006392, 1.005748, 1.004982

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)-A095296(n). Cf. A095298.

Sequence in context: A064862 A123202 A195299 * A269545 A258983 A195138

Adjacent sequences: A095294 A095295 A095296 * A095298 A095299 A095300

Keyword

nonn

Author

Antti Karttunen, Jun 04 2004

Status

approved