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

%I #8 Oct 09 2013 13:47:38

%S 0,2,1,4,4,9,14,29,52,90,167,312,577,1072,2026,3776,7177,13585,25726,

%T 49125,93569,178735,342381,657180,1262818,2430501,4684999,9040931,

%U 17470670,33798206,65455531,126889351,246216909

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

%C 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 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>

%o (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 a(n) = A036378(n)-A095292(n). Cf. A095005.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 04 2004

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Last modified May 19 21:06 EDT 2024. Contains 372703 sequences. (Running on oeis4.)