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

1,1

Comments

For the definition of overcomposition see A236002.

The equivalent sequence for overpartitions is A235793.

Links

Table of n, a(n) for n=1..28.

Formula

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

Example

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.

Sequence in context: A185635 A076122 A332607 * A355102 A355104 A248861

Adjacent sequences: A236623 A236624 A236625 * A236627 A236628 A236629

Keyword

nonn

Author

Omar E. Pol, Feb 01 2014

Status

approved