A125546 Number of n X n arrays with entries in 1..11 in which adjacent entries differ by 9 or less (adjacent means in x or y directions).

1, 11, 13763, 1978210109, 32571675386972165, 61452459671072911580420687, 13284933102293631737361621573688797935, 329079799821925392118398338649907446164698978078433

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]`-$[i+1][j]`>9)+($[i+1][j]`-$[i][j]`>9)+($[j][i]`-$[j][i+1]`>9)+($[j][i+1]`-$[j][i]`>9)))

Crossrefs

Sequence in context: A125545 A068137 A220979 * A061965 A013748 A076783

Adjacent sequences: A125543 A125544 A125545 * A125547 A125548 A125549

Keyword

nonn

Author

R. H. Hardin, Dec 31 2006

Status

approved