The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A125370 Number of base 7 circular n-digit numbers with adjacent digits differing by 5 or less. 0
 1, 7, 47, 307, 2067, 13927, 93887, 632947, 4267107, 28767367, 193939727, 1307475187, 8814549747, 59424674407, 400620795167, 2700848143027, 18208192833987, 122753397719047, 827561350484207, 5579135091500467 (list; graph; refs; listen; history; text; internal format)
 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 FORMULA Conjectures from Colin Barker, Jun 02 2017: (Start) G.f.: (1 - x^2 - 10*x^3) / ((1 - x)*(1 - 6*x - 5*x^2)). a(n) = 1 + (3-sqrt(14))^n + (3+sqrt(14))^n for n>0. a(n) = 7*a(n-1) - a(n-2) - 5*a(n-3) for n>3. (End) 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: A229010 A126635 A085352 * A163346 A186446 A244830 Adjacent sequences: A125367 A125368 A125369 * A125371 A125372 A125373 KEYWORD nonn,base AUTHOR R. H. Hardin, Dec 28 2006 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 1 05:02 EST 2022. Contains 358454 sequences. (Running on oeis4.)