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 A125316 Number of base 6 circular n-digit numbers with adjacent digits differing by 3 or less. 1
 1, 6, 30, 138, 694, 3526, 18012, 92140, 471566, 2413794, 12356010, 63250314, 323779348, 1657433992, 8484446994, 43432107538, 222330112286, 1138113767838, 5826034724844, 29823627148788, 152667942902854 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS [Empirical] a(base,n)=a(base-1,n)+A025012(n+1) for base>=3.int(n/2)+1. LINKS FORMULA Conjectures from Colin Barker, Jun 04 2017: (Start) G.f.: (1 - 3*x^2 - 16*x^3 + 3*x^4 + 8*x^5) / ((1 - x - x^2)*(1 - 5*x - x^2 + 2*x^3)). a(n) = 6*a(n-1) - 3*a(n-2) - 8*a(n-3) + a(n-4) + 2*a(n-5) for n>5. (End) PROG (S/R) stvar \$[N]:(0..M-1) init \$[]:=0 asgn \$[]->{*} kill +[i in 0..N-1]((\$[i]`-\$[(i+1)mod N]`>3)+(\$[(i+1)mod N]`-\$[i]`>3)) CROSSREFS Sequence in context: A255463 A192208 A001334 * A092439 A082149 A002457 Adjacent sequences:  A125313 A125314 A125315 * A125317 A125318 A125319 KEYWORD nonn,base AUTHOR R. H. Hardin, Dec 28 2006 STATUS approved

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Last modified May 20 03:10 EDT 2019. Contains 323412 sequences. (Running on oeis4.)