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%I #16 Jan 05 2025 19:51:41
%S 1,1312,3256,3257,3936,3937,4000,4001,4032,38880,38881,39000,39001,
%T 19928280,19928281,21975136,21975137,21975305,21975312,22054032
%N List of numbers whose middle Fibonomial coefficient (2n,n)_F is prime to 105.
%C From _Charlie Neder_, Mar 04 2019: (Start)
%C For the middle Fibonomial coefficient (2n,n)_F to be coprime to a prime p, we must have that the integral part of n/A001177(p) has its base-p digits all < p/2 and its fractional part is < 1/2.
%C Next term > 10^8. (End)
%H Christian Ballot, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/55-4/BallotLucasCatalan101717.pdf">Divisibility of the middle Lucasnomial coefficient</a>, Fib. Q., 55 (2017), 297-308.
%F Numbers k congruent to 0 or 1 modulo 8 such that floor(k/4) is in A005836, k is in A037543, and floor(k/8) is in A037461. - _Charlie Neder_, Mar 04 2019
%Y Cf. A003267, A030979.
%Y Cf. A037461, A037543, A005836.
%K nonn,more,changed
%O 1,2
%A _N. J. A. Sloane_, Nov 28 2017
%E a(10)-a(20) from _Charlie Neder_, Mar 04 2019