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A073820 a(n) = n+1-i such that prime(i)*(n+1-i) is maximized (1 <= i <= n). 2

%I #2 Mar 31 2012 13:20:45

%S 1,2,3,2,3,2,3,4,5,4,5,6,7,5,6,7,8,9,8,9,10,10,11,12,13,10,11,12,13,

%T 14,15,16,15,16,17,17,18,14,15,16,17,18,19,20,21,22,23,24,25,20,21,22,

%U 23,24,25,26,27,24,25,26,27,28,29,30,31,32,33,34,32,33,31,30,31,32,33,34

%N a(n) = n+1-i such that prime(i)*(n+1-i) is maximized (1 <= i <= n).

%C 3 is the only n for which the maximum is not unique; a(3) could also be given as 2.

%F a(n) = A073818(n)/A073819(n).

%e For n = 5, we take the first 5 primes in ascending order and multiply them by the numbers from 5 to 1 in descending order: 2*5 = 10 3*4 = 12 5*3 = 15 7*2 = 14 11*1 = 11 The largest product is 15, so a(5) = 3.

%Y Cf. A073818, A073819.

%K easy,nonn

%O 1,2

%A _David Wasserman_, Aug 13 2002

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