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A263163 Number of lattice paths starting at {n}^5 and ending when any component equals 0, using steps that decrement one or more components by one. 2
1, 31, 32461, 142090291, 944362553521, 7622403922836151, 68836844233002312181, 668865316589763487491811, 6842570537592835194176298241, 72725938463068824904583496062671, 796079042828286992045143086504942301, 8920612967950147759634381671622287341331 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..75

MAPLE

g():= seq(convert(n, base, 2)[1..5], n=33..63):

b:= proc(l) option remember;

      `if`(l[1]=0, 1, add(b(sort(l-h)), h=g()))

    end:

a:= n-> b([n$5]):

seq(a(n), n=0..12);

MATHEMATICA

g[] = Table[Reverse[IntegerDigits[n, 2]][[;; 5]], {n, 2^5 + 1, 2^6 - 1}];

b[l_] := b[l] = If[l[[1]] == 0, 1, Sum[b[Sort[l - h]], {h, g[]}]];

a[n_] := b[Table[n, {5}]];

a /@ Range[0, 12] (* Jean-François Alcover, Apr 25 2020, after Alois P. Heinz *)

CROSSREFS

Column k=5 of A263159.

Sequence in context: A176349 A262716 A033176 * A188956 A218142 A117579

Adjacent sequences:  A263160 A263161 A263162 * A263164 A263165 A263166

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2015

STATUS

approved

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Last modified July 24 11:17 EDT 2021. Contains 346273 sequences. (Running on oeis4.)