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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-François 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.)