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.

A112874 Numbers n such that the coefficient of x^n in (x^2-x-1)^n is prime.

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%I A112874 #5 Feb 16 2025 08:32:59
%S A112874 3,4,5,6,7,10,11,12,26,160,3787,31877
%N A112874 Numbers n such that the coefficient of x^n in (x^2-x-1)^n is prime.
%C A112874 n=31877 yields a probable prime; the others have been proved prime. These n were also found by Eric Weisstein, who found no other n<100000.
%H A112874 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CentralTrinomialCoefficient.html">Central Trinomial Coefficient</a>
%H A112874 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/IntegerSequencePrimes.html">Integer Sequence Primes</a>
%t A112874 Select[Range[200], PrimeQ[Coefficient[Expand[(x^2-x-1)^# ], x, # ]]&]
%Y A112874 Cf. A098331 (coefficient of x^n in (x^2-x-1)^n).
%K A112874 hard,nonn
%O A112874 1,1
%A A112874 _T. D. Noe_, Sep 29 2005