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A048275 a(n) = maximal value for number of divisors of C(n,k) for k=0..n. 6

%I

%S 1,2,2,4,4,6,4,8,12,18,16,24,24,32,24,48,32,60,48,80,96,128,64,160,

%T 192,192,288,480,384,480,192,576,768,768,1024,1536,1152,1536,1536,

%U 2304,1536,2880,2304,2560,3072,3840,2304,3456,3840,5184,6144,9216,5120

%N a(n) = maximal value for number of divisors of C(n,k) for k=0..n.

%H Michael De Vlieger, <a href="/A048275/b048275.txt">Table of n, a(n) for n = 1..1000</a>

%e If n=20, then the number of divisors of C(20,k) is one of {1,6,8,16,24,40,48,64,80}, so a(20) = 80.

%t Table[Max@ Map[DivisorSigma[0, #] &, Binomial[n, Range[0, n]]], {n, 53}] (* _Michael De Vlieger_, Mar 05 2017 *)

%o (PARI) a(n) = vecmax(vector(n+1, k, numdiv(binomial(n,k-1)))); \\ _Michel Marcus_, Mar 05 2017

%Y Cf. A000005, A001405, A034974.

%K nonn

%O 1,2

%A _Labos Elemer_

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Last modified April 5 19:23 EDT 2020. Contains 333257 sequences. (Running on oeis4.)