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

0,3

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

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 *)

Crossrefs

Cf. A215014, A288777, A288778.

Sequence in context: A150973 A150974 A248438 * A150975 A150976 A150977

Adjacent sequences: A288777 A288778 A288779 * A288781 A288782 A288783

Keyword

nonn

Author

Omar E. Pol, Jun 15 2017

Extensions

More terms from Alois P. Heinz, Jun 16 2017

Status

approved