%I A110373
%S A110373 1,5,20,124,744,5928,47424,426816,4268160,50578560,606942720,8369256960,
%T A110373 117169597440,1757543961600,28120703385600,498974747443200,
%U A110373 8981545453977600,177051737331302400,3541034746626048000
%N A110373 SUM (n!/p) where p is a prime <=n.
%e A110373 a(7) = 7!{1/2 +1/3 +1/5 +1/7 } = 5928.
%p A110373 a:=proc(n) local s, i: s:=0: for i from 2 to n do if isprime(i)=true 
               then s:=s+1/i else s:=s: fi: od: n!*s: end: seq(a(n),n=2..23); (Deutsch)
%Y A110373 Cf. A110374.
%Y A110373 Sequence in context: A117736 A028944 A054720 this_sequence A081067 A024066 
               A009569
%Y A110373 Adjacent sequences: A110370 A110371 A110372 this_sequence A110374 A110375 
               A110376
%K A110373 easy,nonn
%O A110373 2,2
%A A110373 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 24 2005
%E A110373 More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Jul 24 2005