A125378 Number of base 15 circular n-digit numbers with adjacent digits differing by 5 or less.

1, 15, 135, 1035, 9115, 81965, 752499, 6987149, 65352323, 613987173, 5784275575, 54583999661, 515613103267, 4873612594333, 46083011633703, 435842257278845, 4122660268033347, 38999758933083437, 368950570808869143

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: A023013 A036217 A022643 * A254409 A155648 A126536

Adjacent sequences: A125375 A125376 A125377 * A125379 A125380 A125381

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved