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Records of A188550.
3

%I #18 Feb 07 2016 10:44:06

%S 1,2,3,4,6,8,9,10,12,16,18,20,24,30,32,36,40,48,60,64,72,80,84,90,96,

%T 100,108,120,128,144,160,168,180,192,200,216

%N Records of A188550.

%C Is this the same sequence as A002183, number of divisors of n-th highly composite number?

%t max = 10^6; (* b = A188550 *) b[n_] := Max @ Table[Length @ Select[ Table[ n-d, {d, Divisors[n-k] // Rest}], Mod[#, k] == 0&], {k, 2, Floor[ Sqrt[n] ]}]; A188591 = Reap[For[record = 0; k = 1; n = 1, n <= max, n++, bn = b[n]; If[bn > record, record = bn; Print["a(", k++, ") = b(", n, ") = ", bn]; Sow[bn]]]][[2, 1]] (* _Jean-François Alcover_, Feb 07 2016 *)

%Y Cf. A188550, A188579.

%K nonn,more

%O 1,2

%A _Vladimir Shevelev_, Apr 04 2011

%E More terms from _Jean-François Alcover_, Feb 07 2016