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A263164 Number of lattice paths starting at {n}^6 and ending when any component equals 0, using steps that decrement one or more components by one. 2
1, 63, 580693, 39991899123, 4727954015135121, 716137204351882049583, 125076804896889941384267749, 23963247580553153291287896467139, 4899254403362236213345570748744318209, 1051032705565051909388116876876306460192223 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..50

MAPLE

g():= seq(convert(n, base, 2)[1..6], n=65..127):

b:= proc(l) option remember;

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

    end:

a:= n-> b([n$6]):

seq(a(n), n=0..10);

MATHEMATICA

g[] = Table[Reverse[IntegerDigits[n, 2]][[;; 6]], {n, 2^6 + 1, 2^7 - 1}];

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

a[n_] := b[Table[n, {6}]];

a /@ Range[0, 10] (* Jean-Fran├žois Alcover, Apr 25 2020, after Alois P. Heinz *)

CROSSREFS

Column k=6 of A263159.

Sequence in context: A230674 A229933 A230175 * A132591 A116232 A094496

Adjacent sequences:  A263161 A263162 A263163 * A263165 A263166 A263167

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2015

STATUS

approved

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Last modified September 16 23:53 EDT 2021. Contains 347477 sequences. (Running on oeis4.)