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 A346229 Number of n-step 8-dimensional nonnegative lattice walks starting at the origin and using steps that increment all components or decrement one component by 1. 2
 1, 1, 9, 73, 545, 3881, 27761, 208593, 1655241, 13490897, 110135641, 895031361, 7279880713, 59647817713, 493774294393, 4125976137817, 34688652854097, 292496479087385, 2469649871976929, 20883345481893257, 177031405058676369, 1505681846157691769 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..90 FORMULA a(n) == 1 (mod 8). MAPLE b:= proc(n, l) option remember; `if`(n=0, 1, (k-> `if`(n>min(l), add(`if`(l[i]=0, 0, b(n-1, sort(subsop(i=l[i]-1, l)))), i=1..k)+b(n-1, map(x-> x+1, l)), (k+1)^n))(nops(l))) end: a:= n-> b(n, [0\$8]): seq(a(n), n=0..27); CROSSREFS Column k=8 of A335570. Sequence in context: A244202 A079927 A126641 * A081627 A164588 A023001 Adjacent sequences: A346226 A346227 A346228 * A346230 A346231 A346232 KEYWORD nonn,walk AUTHOR Alois P. Heinz, Jul 11 2021 STATUS approved

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Last modified September 8 14:54 EDT 2024. Contains 375753 sequences. (Running on oeis4.)