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A056057 The largest square which divides n-th central binomial coefficient. 8

%I

%S 1,1,1,1,1,4,1,1,9,36,1,4,4,4,9,9,1,4,1,4,4,4,1,4,100,100,900,900,36,

%T 144,9,9,9,36,25,100,100,100,9,36,4,4,4,4,900,3600,225,900,1764,1764,

%U 1764,1764,196,784,4,4,4,16,4,16,16,16,441,441,49,196,49,196,36,36,1,4

%N The largest square which divides n-th central binomial coefficient.

%F a(n) = A008833(A001405(n)).

%e Square central b.c. (A046098) the largest square is 1.

%t Table[First@ Select[Reverse@ Divisors@ Binomial[n, Floor[n/2]], IntegerQ@ Sqrt@ # &], {n, 72}] (* _Michael De Vlieger_, Feb 18 2017 *)

%Y Cf. A001405, A000188, A008833, A007913, A055229, A055231, A046098, A034974.

%Y Cf. A056056, A056058, A056059, A056060, A056061.

%K nonn

%O 1,6

%A _Labos Elemer_, Jul 26 2000

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Last modified February 20 08:05 EST 2020. Contains 332069 sequences. (Running on oeis4.)