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%I #32 Jun 06 2020 10:48:01
%S 1,1,1,0,1,0,2,0,0,2,2,0,0,2,2,0,0,1,3,0,3,0,1,0,2,1,1,2,2,0,2,2,1,1,
%T 3,1,1,2,5,2,3,1,1,1,1,1,1,2,0,0,3,0,0,0,0,2,1,2,4,1,1,0,2,3
%N Number of terms of A002386 (primes preceding record prime gaps) in the interval (2^n, 2^(n+1)].
%C The record prime gaps are in A005250; the corresponding primes are in A002386.
%e For n=3, there are no primes p_m in A002386 in the range 2^3 = 8 < p_m <= 16 = 2^4, so a(3)=0.
%e For n=6, there are 2 primes p_m in A002386 in the range 2^6 = 64 < p_m <= 128 = 2^7, namely p_m = 89, 113, so a(6)=2.
%Y Cf. A000101 (upper ends), A005250 (record gaps).
%K nonn
%O 0,7
%A _John W. Nicholson_, Oct 20 2019
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