A288780 Zero together with the row sums of A288778.

0, 0, 2, 9, 36, 165, 918, 6111, 47304, 416097, 4091130, 44417043, 527456556, 6798432069, 94499679582, 1408924024695, 22425642181008, 379514672913321, 6804212771165634, 128827325000617947, 2568509718703606260, 53787877376348226573, 1180349932648067726886

Offset: 0

Author

Omar E. Pol, Jun 15 2017

Keywords

• nonn

Comments

For n >= 2, a(n) is the number of numbers in base n with consecutive digits after reordering.

a(10) = 4091130 is also the number of positive terms in the finite sequence A215014, hence a(10) + 1 = 4091131 is the total number of terms in that sequence.

Links

• Alois P. Heinz, Table of n, a(n) for n = 0..450

Crossrefs

Cf. A215014, A288777, A288778.

Programs

Maple

a:= proc(n) option remember; `if`(n<3, n*(n-1),
      n*(a(n-1)*n/(n-1)-a(n-2)*(n-1)/(n-2)))
    end:
seq(a(n), n=0..25);  # Alois P. Heinz, Jun 16 2017

Mathematica

{0}~Join~Map[Total, Table[(n - k + 1) k! - (k - 1)!, {n, 22}, {k, n}]] (* Michael De Vlieger, Jun 21 2017 *)

Extensions

More terms from Alois P. Heinz, Jun 16 2017