

A124708


Number of base 15 circular ndigit numbers with adjacent digits differing by 1 or less.


0



1, 15, 43, 99, 263, 695, 1891, 5195, 14431, 40383, 113723, 321875, 914903, 2609895, 7468147, 21427259, 61622671, 177588815, 512734699, 1482818915, 4294677703, 12455435063, 36167638627, 105140060555, 305958613855, 891185076095
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OFFSET

0,2


COMMENTS

[Empirical] a(base,n)=a(base1,n)+A002426(n+1) for base>=1.int(n/2)+1
a(n) = T(n, 15) 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,..,15}. 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..25.


PROG

(S/R) stvar $[N]:(0..M1) init $[]:=0 asgn $[]>{*} kill +[i in 0..N1](($[i]`$[(i+1)mod N]`>1)+($[(i+1)mod N]`$[i]`>1))


CROSSREFS

Sequence in context: A069127 A137183 A173873 * A204734 A126369 A193647
Adjacent sequences: A124705 A124706 A124707 * A124709 A124710 A124711


KEYWORD

nonn,base


AUTHOR

R. H. Hardin, Dec 28 2006


STATUS

approved



