A125394 Number of base 31 circular n-digit numbers with adjacent digits differing by 5 or less.

1, 31, 311, 2491, 23371, 222781, 2175107, 21527229, 215372643, 2172481855, 22058146721, 225160434299, 2308475903215, 23755239389679, 245216829211791, 2538058380864601, 26330120051697475, 273697415480399349

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..17.

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: A368946 A042870 A152033 * A200913 A212235 A126552

Adjacent sequences: A125391 A125392 A125393 * A125395 A125396 A125397

Keyword

nonn,base

Author

R. H. Hardin, Dec 28 2006

Status

approved