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.

A114419 a(n) is the smallest number k such that Fibonacci(k) is a multiple of primorial(n).

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%I A114419 #25 Feb 24 2024 01:13:22
%S A114419 3,12,60,120,120,840,2520,2520,2520,2520,2520,47880,47880,526680,
%T A114419 1053360,3160080,91642320,91642320,1557919440,1557919440,57643019280,
%U A114419 749359250640,749359250640,749359250640,5245514754480,26227573772400
%N A114419 a(n) is the smallest number k such that Fibonacci(k) is a multiple of primorial(n).
%C A114419 Because the Fibonacci numbers form a divisibility sequence, each term of this sequence is a multiple of the previous term. The multiple can be computed using A001602. - _T. D. Noe_, May 04 2009
%H A114419 Zak Seidov, <a href="/A114419/b114419.txt">Table of n, a(n) for n = 1..100</a>
%H A114419 <a href="/index/Di#divseq">Index to divisibility sequences</a>
%F A114419 a(n) = {min j: A002110(n) | A000045(j)}. - _R. J. Mathar_, Jan 31 2008
%F A114419 a(n) = lcm(A001602(1),...,A001602(n)). - _T. D. Noe_, May 04 2009
%e A114419 a(2)=12 because 12th Fibonacci number (144) is the smallest Fibonacci number which is a multiple of primorial(2), i.e., 6.
%o A114419 (PARI) a(n) = {prn = prod(k=1, n, prime(k)); k = 1; while(fibonacci(k) % prn, k++); k;} \\ _Michel Marcus_, Jan 13 2016
%Y A114419 Cf. A002110, A000045.
%Y A114419 Cf. A267095.
%K A114419 nonn
%O A114419 1,1
%A A114419 _Shyam Sunder Gupta_, Feb 12 2006
%E A114419 a(1) corrected and a(14) added by _R. J. Mathar_, Jan 31 2008
%E A114419 a(14)-a(18) from _Donovan Johnson_, Sep 03 2008
%E A114419 Extended by _T. D. Noe_, May 04 2009