A246233 Number of compositions of n into exactly six different parts with distinct multiplicities.

2053230379200, 18772392038400, 73402986056400, 257607082933200, 886531102657200, 2509031227903200, 7078865111398080, 19909183290796800, 51039390957675120, 128693357256063600, 326570236365292920, 777083694958410840, 1847217791018559960, 4410908197048833480

Offset: 56

Author

Alois P. Heinz, Aug 19 2014

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 56..120

Crossrefs

Column k=6 of A242896.

Programs

Mathematica

$RecursionLimit = 1000; b[n_, i_, s_List] := b[n, i, s] = If[n == 0, Total[s]!, If[i < 1, 0, Expand[ Sum[ If[j > 0 && MemberQ[s, j], 0, If[j == 0, 1, x]*b[n - i*j, i - 1, If[j == 0, s, s~Union~{j}]]/j!], {j, 0, n/i}]]]]; a[n_] := Coefficient[b[n, n, {}], x, 6]; Table[a[n], {n, 56, 80}] (* Jean-François Alcover, Feb 11 2015, after Alois P. Heinz *)