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.

A295562 List of numbers whose middle Fibonomial coefficient (2n,n)_F is prime to 105.

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%I A295562 #16 Jan 05 2025 19:51:41
%S A295562 1,1312,3256,3257,3936,3937,4000,4001,4032,38880,38881,39000,39001,
%T A295562 19928280,19928281,21975136,21975137,21975305,21975312,22054032
%N A295562 List of numbers whose middle Fibonomial coefficient (2n,n)_F is prime to 105.
%C A295562 From _Charlie Neder_, Mar 04 2019: (Start)
%C A295562 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 A295562 Next term > 10^8. (End)
%H A295562 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 A295562 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 A295562 Cf. A003267, A030979.
%Y A295562 Cf. A037461, A037543, A005836.
%K A295562 nonn,more
%O A295562 1,2
%A A295562 _N. J. A. Sloane_, Nov 28 2017
%E A295562 a(10)-a(20) from _Charlie Neder_, Mar 04 2019