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A124799 Number of base 30 circular n-digit numbers with adjacent digits differing by 1 or less. 1
1, 30, 88, 204, 548, 1460, 4006, 11090, 31036, 87468, 248018, 706670, 2021738, 5804010, 16711552, 48241364, 139572076, 404612780, 1175026834, 3417771710, 9955368238, 29035695998, 84784671532, 247838482400, 725183659570 (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, 30) 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,..,30}. See theorem 3.3 in Knopfmacher and others, reference in A124696. - Peter Luschny, Aug 13 2012
LINKS
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: A058903 A254474 A103906 * A126384 A025417 A081807
KEYWORD
nonn,base
AUTHOR
R. H. Hardin, Dec 28 2006
STATUS
approved

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Last modified February 22 05:47 EST 2024. Contains 370240 sequences. (Running on oeis4.)