A125379 Number of base 16 circular n-digit numbers with adjacent digits differing by 5 or less.

1, 16, 146, 1126, 10006, 90766, 841412, 7895904, 74715854, 710834734, 6786655906, 64943303298, 622375932004, 5970118647444, 57303035279202, 550227097897606, 5284636214132958, 50764242418318486, 487691693453055908

Offset

0,2

Comments

[Empirical] a(base,n)=a(base-1,n)+F(5) for base>=5.int(n/2)+1 and F(d) is the largest coefficient in (1+x+...+x^(2d))^n

Links

Table of n, a(n) for n=0..18.

Prog

(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>5)+($[(i+1)mod N]`-$[i]`>5))

Crossrefs

Sequence in context: A196572 A052388 A027651 * A232063 A126537 A252818

Adjacent sequences: A125376 A125377 A125378 * A125380 A125381 A125382

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved