cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A095293 Number of A095283-primes in range ]2^n,2^(n+1)].

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%I A095293 #8 Oct 09 2013 13:47:38
%S A095293 0,2,1,4,4,9,14,29,52,90,167,312,577,1072,2026,3776,7177,13585,25726,
%T A095293 49125,93569,178735,342381,657180,1262818,2430501,4684999,9040931,
%U A095293 17470670,33798206,65455531,126889351,246216909
%N A095293 Number of A095283-primes in range ]2^n,2^(n+1)].
%C A095293 As expected, the ratio a(n)/A095292(n) seems to approach 2: 0, 0, 1, 4, 1.33333, 2.25, 1.55556, 2.07143, 2.26087, 1.91489, 1.89773, 2.05263, 1.95593, 1.98519, 2.01793, 1.95344, 2.00924, 1.99633, 1.99287, 2.0083, 2.00075, 1.99746, 1.99841, 1.99971, 2.00034, 2.00001, 2.00018, 1.99977, 1.99971, 1.99997, 2.00004, 1.99995, 2.00003
%H A095293 A. Karttunen and J. Moyer: <a href="/A095062/a095062.c.txt">C-program for computing the initial terms of this sequence</a>
%H A095293 <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>
%o A095293 (PARI) a(n)=my(s);forprime(p=2^n+1,2^(n+1), s+=valuation(p+1, 2)%2); s \\ _Charles R Greathouse IV_, Oct 09 2013
%Y A095293 a(n) = A036378(n)-A095292(n). Cf. A095005.
%K A095293 nonn
%O A095293 1,2
%A A095293 _Antti Karttunen_, Jun 04 2004