A263168 Number of lattice paths starting at {n}^10 and ending when any component equals 0, using steps that decrement one or more components by one.

1, 1023, 208994018773, 3864094036317649535283, 198305312034897003898098826655121, 16102861078300336871094550725929002523470383, 1698612808615154132767781717350125427082238529142835109, 212216707280526234296212923289763064481087995125148762713351022339

Offset

0,2

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10

Maple

g():= seq(convert(n, base, 2)[1..10], n=1025..2047):
b:= proc(l) option remember;
      `if`(l[1]=0, 1, add(b(sort(l-h)), h=g()))
    end:
a:= n-> b([n$10]):
seq(a(n), n=0..5);

Crossrefs

Column k=10 of A263159.

Sequence in context: A069411 A069437 A212934 * A336779 A030001 A176764

Adjacent sequences: A263165 A263166 A263167 * A263169 A263170 A263171

Keyword

nonn

Author

Alois P. Heinz, Oct 11 2015

Status

approved