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

%I #11 Jun 19 2024 17:03:10

%S 1,2,8,50,160,892,3794,19560,80112,371948,1614598,7180494,30794746,

%T 134269410,574754496,2471353090,10542096528,45057428356,191653403306,

%U 814082549052,3444043955350,14537736838038,61174002263338,256838845740468,1075631257186986

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

%H Alois P. Heinz, <a href="/A373865/b373865.txt">Table of n, a(n) for n = 0..75</a>

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

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

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

%K nonn

%O 0,2

%A _Alois P. Heinz_, Jun 19 2024