A225094 -id:A225094 - cp's OEIS frontend

A225220 Number of lattice paths without interior points from {n}^4 to {0}^4 using steps that decrement one component by 1.

1, 24, 1944, 132000, 8059800, 471369024, 27141228576, 1557898303104, 89658680843160, 5186780199744000, 301901643282754944, 17682835350047107968, 1041936263500353390624, 61736371470508652400000, 3676501723843796568912000, 219941299213693627194432000

Offset: 0

Alois P. Heinz, May 02 2013

nonn

An interior point p = (p_1, ..., p_4) has 4 components with 0

Alois P. Heinz, Table of n, a(n) for n = 0..100

Column k=4 of A225094.

b:= proc(n, l) b(n, l):= `if`(l[4]=0, 1, `if`(l[1]>0 and l[4] b(n, [n$4]):
seq(a(n), n=0..20);

A225221 Number of lattice paths without interior points from {4}^n to {0}^n using steps that decrement one component by 1.

Original entry on oeis.org

1, 0, 2, 2550, 8059800, 57010275000, 801652441590000, 20393765925943410000, 872251852597491366000000, 59194435154364480600630000000, 6083868079208428011546743700000000, 911478727065442542708032537906700000000, 192819174440695429545254134608441231600000000

Offset: 0

Alois P. Heinz, May 02 2013

nonn

An interior point p = (p_1, ..., p_n) has n>0 components with 0

Alois P. Heinz, Table of n, a(n) for n = 0..45

Row n=4 of A225094.

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] b(4, [4$n]):
seq(a(n), n=0..12);

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A225220 Number of lattice paths without interior points from {n}^4 to {0}^4 using steps that decrement one component by 1.

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