A236626 Sum of all parts of all overcompositions of n.

2, 8, 36, 104, 300, 864, 2268, 5824, 14418, 35760, 85888, 204816, 479804, 1113280, 2560560, 5836704, 13209612, 29690208, 66332572, 147350880, 325780056, 716862256, 1571067072, 3429697920, 7461222850, 16178111560, 34973640108, 75392349648

Offset: 1

Author

Omar E. Pol, Feb 01 2014

Keywords

• nonn

Comments

For the definition of overcomposition see A236002.

The equivalent sequence for overpartitions is A235793.

Examples

			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.
		

Crossrefs

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

Formula

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