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A244343 Least even k such that sfdf(k-3) > sfdf(k-1) >= A050376(n), where sfdf(n) is the smallest Fermi-Dirac factor of n (A223490). 2

%I #9 Jun 26 2014 19:41:24

%S 16,46,46,64,100,254,326,392,392,590,776,776,1190,1520,1814,2420,2624,

%T 3764,3764,3764,4454,4454,4892,5752,6400,6400,7210,9380,9524,11414,

%U 11414,13190,13190,13190,18272,18272,19940,20414,20414,21824,24614,24614,25592

%N Least even k such that sfdf(k-3) > sfdf(k-1) >= A050376(n), where sfdf(n) is the smallest Fermi-Dirac factor of n (A223490).

%C a(n) is a Fermi-Dirac analog of A242719.

%e If k is even such that k-1 is either 1 or in A050376, then k cannot be required. Thus, if n=2, then k=2,4,6,8,10,12,14 are not required, while for k=16 we have sfdf(16-3) = 13 > sfdf(16-1) = 3 = A050376(2). So a(2)=16.

%Y Cf. A050376, A223490, A242719.

%K nonn

%O 2,1

%A _Vladimir Shevelev_ and _Peter J. C. Moses_, Jun 26 2014

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