A373865 Sum over all compositions of 2n into n parts of the least common multiple of the parts.

1, 2, 8, 50, 160, 892, 3794, 19560, 80112, 371948, 1614598, 7180494, 30794746, 134269410, 574754496, 2471353090, 10542096528, 45057428356, 191653403306, 814082549052, 3444043955350, 14537736838038, 61174002263338, 256838845740468, 1075631257186986

Offset: 0

Author

Alois P. Heinz, Jun 19 2024

Keywords

• nonn

Examples

			a(3) = 50 = 2 + 6*6 + 3*4: 222, 123, 132, 213, 231, 312, 321, 114, 141, 411.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..75

Crossrefs

Cf. A005430 (the same for sum), A165817 (the same for product), A181851, A260878 (the same for gcd).

Formula

a(n) = A181851(2n,n).