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

0,2

Links

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

Formula

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

Example

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

Crossrefs

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

Sequence in context: A136226 A046165 A227264 * A114619 A027047 A034491

Adjacent sequences: A373861 A373862 A373863 * A373866 A373867 A373868

Keyword

nonn,new

Author

Alois P. Heinz, Jun 19 2024

Status

approved