login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A263167 Number of lattice paths starting at {n}^9 and ending when any component equals 0, using steps that decrement one or more components by one. 2
1, 511, 7229006221, 4888774762356549331, 8144781718207791515101819441, 20371729407721971932197861769050382551, 64254115995388375135778208276014009097192012661, 235485313707274694851291521951126742198585792399471283971 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..15

MAPLE

g():= seq(convert(n, base, 2)[1..9], n=513..1023):

b:= proc(l) option remember;

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

    end:

a:= n-> b([n$9]):

seq(a(n), n=0..7);

MATHEMATICA

g[] = Table[Reverse[IntegerDigits[n, 2]][[;; 9]], {n, 2^9+1, 2^10-1}];

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

a[n_] := b[Table[n, {9}]];

a /@ Range[0, 7] (* Jean-Fran├žois Alcover, Apr 25 2020, after Alois P. Heinz *)

CROSSREFS

Column k=9 of A263159.

Sequence in context: A289475 A069436 A217915 * A139303 A035884 A035596

Adjacent sequences:  A263164 A263165 A263166 * A263168 A263169 A263170

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Oct 11 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 21 16:31 EDT 2021. Contains 347598 sequences. (Running on oeis4.)