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Sum of all parts of all overcompositions of n.
2

%I #14 Feb 04 2014 14:22:05

%S 2,8,36,104,300,864,2268,5824,14418,35760,85888,204816,479804,1113280,

%T 2560560,5836704,13209612,29690208,66332572,147350880,325780056,

%U 716862256,1571067072,3429697920,7461222850,16178111560,34973640108,75392349648

%N Sum of all parts of all overcompositions of n.

%C For the definition of overcomposition see A236002.

%C The equivalent sequence for overpartitions is A235793.

%F a(n) = n*A236002(n).

%e For n = 3 the 12 overcompositions of 3 are [3], [3'], [1, 2], [1', 2], [1, 2'], [1', 2'], [2, 1], [2', 1], [2, 1'], [2', 1'], [1, 1, 1], [1', 1, 1], hence the sum of all parts is 3+3+1+2+1+2+1+2+1+2+2+1+2+1+2+1+2+1+1+1+1+1+1+1 = 3*12 = 36, so a(3) = 36.

%Y Cf. A001787, A066186, A235793, A235999, A236002, A236625, A236628, A236633.

%K nonn

%O 1,1

%A _Omar E. Pol_, Feb 01 2014