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A056647 Largest unitary square divisor of central binomial coefficient. 0

%I #6 Sep 04 2017 19:24:38

%S 1,1,1,1,1,4,1,1,9,36,1,4,4,1,9,9,1,4,1,4,4,1,1,4,100,25,100,25,9,144,

%T 9,9,1,4,25,100,100,25,9,36,4,1,4,1,25,400,225,900,1764,441,196,49,49,

%U 784,4,1,1,16,1,16,16,4,441,441,49,196,49,196,36,9,1,4,4,1,100,25,1225

%N Largest unitary square divisor of central binomial coefficient.

%F a(n) = A008833(A001405(n))/A055229(A001405(n))^2 = A056057(n)/A056059(n)^2.

%e n=28: binomial(28,14) = 2*2*2*3*3*3*5*5*17*19*23. Its largest square divisor is 900, while a(28) = 900/6^2 = 25 is the unitary analog, the largest unitary square divisor.

%Y Cf. A000188, A001405, A008833, A055229, A056056, A056057, A056059.

%K nonn

%O 1,6

%A _Labos Elemer_, Aug 09 2000

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)