%I A110378
%S A110378 1,4,16,81,486,3403,27224,245016,2450160,26951761,323421132,4204474717,
%T A110378 58862646038,882939690570,14127035049120,240159595835041,
%U A110378 4322872725030738,82134581775584023,1642691635511680460
%N A110378 SUM (n!/p!) where p is a prime <=n.
%e A110378 a(6) = 6!{ 2! +1/3! +1/5!}=486.
%p A110378 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 A110378 Cf. A110373, A110374, A038048, A110376, A110377.
%Y A110378 Sequence in context: A118997 A001257 A133053 this_sequence A076997 A092304 
               A022564
%Y A110378 Adjacent sequences: A110375 A110376 A110377 this_sequence A110379 A110380 
               A110381
%K A110378 easy,nonn
%O A110378 2,2
%A A110378 Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 24 2005
%E A110378 Corrected and extended by Emeric Deutsch (deutsch(AT)duke.poly.edu), 
               Jul 24 2005