cp's OEIS Frontend

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.

%I A263168 #7 Oct 16 2015 12:21:30
%S A263168 1,1023,208994018773,3864094036317649535283,
%T A263168 198305312034897003898098826655121,
%U A263168 16102861078300336871094550725929002523470383,1698612808615154132767781717350125427082238529142835109,212216707280526234296212923289763064481087995125148762713351022339
%N 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.
%H A263168 Alois P. Heinz, <a href="/A263168/b263168.txt">Table of n, a(n) for n = 0..10</a>
%p A263168 g():= seq(convert(n, base, 2)[1..10], n=1025..2047):
%p A263168 b:= proc(l) option remember;
%p A263168       `if`(l[1]=0, 1, add(b(sort(l-h)), h=g()))
%p A263168     end:
%p A263168 a:= n-> b([n$10]):
%p A263168 seq(a(n), n=0..5);
%Y A263168 Column k=10 of A263159.
%K A263168 nonn
%O A263168 0,2
%A A263168 _Alois P. Heinz_, Oct 11 2015