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A124719 Number of base 26 circular n-digit numbers with adjacent digits differing by 1 or less. 1
1, 26, 76, 176, 472, 1256, 3442, 9518, 26608, 74912, 212206, 604058, 1726582, 4952246, 14246644, 41090936, 118785568, 344073056, 998415598, 2901784298, 8445850762, 24614293082, 71820129424, 209785569908, 613390314046 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

[Empirical] a(base,n)=a(base-1,n)+A002426(n+1) for base>=1.int(n/2)+1

a(n) = T(n, 26) where T(n, k) = Sum_{j=1..k} (1+2*cos(j*Pi/(k+1)))^n. These are the number of smooth cyclic words of length n over the alphabet {1,2,..,26}. See theorem 3.3 in Knopfmacher and others, reference in A124696. - Peter Luschny, Aug 13 2012

LINKS

Table of n, a(n) for n=0..24.

PROG

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

CROSSREFS

Sequence in context: A251074 A262221 A139698 * A126380 A083578 A173307

Adjacent sequences:  A124716 A124717 A124718 * A124720 A124721 A124722

KEYWORD

nonn,base

AUTHOR

R. H. Hardin, Dec 28 2006

STATUS

approved

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Last modified March 19 17:21 EDT 2019. Contains 321330 sequences. (Running on oeis4.)