A125545 Number of n X n arrays with entries in 1..11 in which adjacent entries differ by 8 or less (adjacent means in x or y directions).

1, 11, 12199, 1419562557, 17124710891367659, 21446024690051517579350807, 2787767647614213119983106320870299629, 37614839219636718408474282959362229237375107365087

Offset

0,2

Comments

[Empirical] a(base+1,n,diff)=a(base,n,diff)+F(n,diff) for base>=2.diff.(n-1) and F(n,diff)= (n=2, A063496(diff+1)) (n=3, A068744(diff+1)) (n=4, A068745(diff+1)) (n=5, A068746(diff+1)) (n=6, A068747(diff+1))

Links

Table of n, a(n) for n=0..7.

Prog

(S/R) stvar $[N][N]:(0.. M-1) init $[][]:=0 asgn $[][]->{*} kill +[i in 0.. N-2](+[j in 0.. N-1](($[i][j]`-$[i+1][j]`>8)+($[i+1][j]`-$[i][j]`>8)+($[j][i]`-$[j][i+1]`>8)+($[j][i+1]`-$[j][i]`>8)))

Crossrefs

Sequence in context: A088103 A180561 A185538 * A068137 A220979 A125546

Adjacent sequences: A125542 A125543 A125544 * A125546 A125547 A125548

Keyword

nonn

Author

R. H. Hardin, Dec 31 2006

Status

approved