A095295 Number of A095285-primes in range ]2^n,2^(n+1)].

1, 2, 2, 5, 7, 12, 19, 39, 67, 122, 211, 417, 722, 1376, 2329, 4846, 8423, 17092, 29281, 60653, 105893, 216916, 378928, 786408, 1385920, 2876617, 5069466, 10583728, 18782814, 39107151, 69445570, 145468029, 259680216

Offset

1,2

Comments

Ratios a(n)/A036378(n) converge as: 1, 1, 1, 1, 1, 0.923077, 0.826087, 0.906977, 0.893333, 0.890511, 0.827451, 0.898707, 0.827982, 0.853598, 0.768647, 0.848835, 0.783608, 0.838254, 0.757888, 0.824246, 0.754568, 0.808736, 0.737633, 0.797721, 0.731696, 0.789034, 0.721397, 0.780401, 0.716702, 0.771382, 0.70731, 0.764271, 0.703124

Ratios a(n)/A095326(n) converge as: 1, 1, 1, 1, 1, 0.923077, 0.95, 0.928571, 1.030769, 1, 1.039409, 1.012136, 1.005571, 0.973815, 0.97816, 0.997325, 1.018993, 1.00808, 1.009864, 1.002794,1.003497, 1.000397, 1.005197, 1.000665, 1.001903, 1.003022, 1.004856,1.00371, 1.004471, 1.001864, 1.001392, 1.001771, 1.002428

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)-A095294(n). Cf. A095052, A095053.

Sequence in context: A241446 A097050 A265795 * A095333 A319005 A095326

Adjacent sequences: A095292 A095293 A095294 * A095296 A095297 A095298

Keyword

nonn

Author

Antti Karttunen, Jun 04 2004

Status

approved