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A225111 Number of lattice paths without interior points from {n}^n to {0}^n using steps that decrement one component by 1. 2
1, 1, 2, 384, 8059800, 38606650125120, 71646205399259162031360, 78385944219935192681549282987212800, 71605824043564034004713155518007394441060661360000, 73473023853389304132357517396557811159635782691183541179936000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

An interior point p = (p_1, ..., p_n) has n>0 components with 0<p_i<n for 1<=i<=n.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..12

MAPLE

b:= proc(n, l) option remember; local m; m:= nops(l);

      `if`(m=0 or l[m]=0, 1, `if`(l[1]>0 and l[m]<n, 0,

       add(`if`(l[i]=0, 0, b(n, sort(subsop(i=l[i]-1, l)))), i=1..m)))

    end:

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

seq(a(n), n=0..9);

CROSSREFS

Main diagonal of A225094.

Sequence in context: A142532 A280281 A225096 * A176937 A092701 A321230

Adjacent sequences:  A225108 A225109 A225110 * A225112 A225113 A225114

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Apr 28 2013

STATUS

approved

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Last modified August 22 16:17 EDT 2019. Contains 326178 sequences. (Running on oeis4.)