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A280297 Numbers n such that F(n) and F(n-1) are not squarefree where F(n) = A000045(n). 1

%I #20 Aug 15 2019 21:35:29

%S 25,91,126,175,225,276,325,426,456,475,576,625,637,703,726,775,820,

%T 876,925,979,1001,1002,1026,1075,1176,1183,1225,1275,1326,1375,1431,

%U 1476,1525,1548,1625,1626,1675,1729,1776,1825,1926,1975,2076,2094,2125,2148,2226

%N Numbers n such that F(n) and F(n-1) are not squarefree where F(n) = A000045(n).

%C Utilized the factorization of Fibonacci numbers in the FactorDB.com database. - _Robert Price_, Feb 27 2017

%H Robert Price, <a href="/A280297/b280297.txt">Table of n, a(n) for n = 1..108</a>

%H FactorDB, <a href="http://factordb.com/index.php?query=In&amp;use=n&amp;n=1000&amp;VP=on&amp;VC=on&amp;EV=on&amp;OD=on&amp;PR=on&amp;FF=on&amp;PRP=on&amp;CF=on&amp;U=on&amp;C=on&amp;perpage=20&amp;format=1&amp;sent=Show">Factorizations of F(1000) ... F(1019)</a>.

%e 25 is a term because Fibonacci(25) = 5^2 * 3001 and Fibonacci(24) = 2^5 * 3^2 * 7 * 23.

%o (PARI) is(n) = !issquarefree(fibonacci(n)) && !issquarefree(fibonacci(n-1));

%Y Cf. A000045, A013929, A037917.

%K nonn,more

%O 1,1

%A _Altug Alkan_, Dec 31 2016

%E a(8)-a(108) from _Robert Price_, Feb 27 2017

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)