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Max( sigma(k) : k=1,2,3,...,n ).
1

%I #14 Apr 29 2020 03:30:47

%S 1,3,4,7,7,12,12,15,15,18,18,28,28,28,28,31,31,39,39,42,42,42,42,60,

%T 60,60,60,60,60,72,72,72,72,72,72,91,91,91,91,91,91,96,96,96,96,96,96,

%U 124,124,124,124,124,124,124,124,124,124,124,124,168,168,168,168,168,168

%N Max( sigma(k) : k=1,2,3,...,n ).

%C Records give A034885. Where records occur gives A002093. - _Omar E. Pol_, Apr 23 2020

%F lim n -> infinity (1/n^2)*sum(i=1, n, a(i))=C=1, 2...

%o (PARI) a(n)=vecmax(vector(n,k, sigma(k)))

%Y Cf. A000203, A002093, A034885.

%K easy,nonn

%O 1,2

%A _Benoit Cloitre_, May 11 2002