A070863 Sum of numbers in n-th row of A070861.

1, 1, 3, 12, 60, 360, 2268, 18144, 152544, 1471008, 14963328, 179559936, 2156963328, 30197486592, 426680825088, 6448500066288, 103658110188528, 1865845983393504, 33623263082197152, 672465261643943040, 13457623759369050240, 283699943666342340480, 6265115909183775026880

Offset: 0

Author

Amarnath Murthy, May 16 2002

Keywords

• nonn

Crossrefs

Cf. A070861, A060957.

Programs

Maple

b:= proc(n) option remember; `if`(n=0, {1},
      map(x-> [x, x*n][], b(n-1)))
    end:
a:= n-> add(i, i=b(n)):
seq(a(n), n=0..20);  # Alois P. Heinz, Aug 01 2022

Mathematica

row[n_] := Times @@@ Subsets[Range[n]] // Flatten // Union; a[n_] := Total[row[n]]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 1, 19}] (* Jean-François Alcover, Feb 02 2015 *)

Extensions

Corrected and extended by Lior Manor, May 26 2002

a(0)=1 prepended by Alois P. Heinz, Aug 01 2022