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A250093
Squarefree part of Fibonacci(n^2).
1
1, 3, 34, 987, 3001, 103683, 7778742049, 10610209857723, 37889062373143906, 14168993927170476603, 8670007398507948658051921, 964523271222730372229194083, 93202207781383214849429075266681969, 40934782466626840596168752972961528246147
OFFSET
1,2
COMMENTS
Also, the smallest number such that a(n)*Fibonacci(n^2) is a square.
Conjecture: the only primes in this sequence are 3 and 3001.
LINKS
FORMULA
a(n) = A069110(n^2).
MATHEMATICA
Table[Times@@Power@@@({#[[1]], Mod[#[[2]], 2]}&/@FactorInteger[Fibonacci[n^2]]), {n, 20}]
PROG
(Magma) [SquareFree(Fibonacci(n^2)): n in [1..20]];
(PARI) for(n=1, 60, print1(core(fibonacci(n^2)), ", "))
CROSSREFS
KEYWORD
nonn
AUTHOR
Vincenzo Librandi, Nov 12 2014
STATUS
approved