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A124994 Number of base 31 circular n-digit numbers with adjacent digits differing by 2 or less. 2

%I #10 Aug 12 2023 11:27:07

%S 1,31,149,559,2457,10861,49253,226033,1048177,4898197,23033019,

%T 108861553,516705009,2461341589,11760895827,56346974689,270594033729,

%U 1302160086037,6277836418979,30315976817857,146614887333487

%N Number of base 31 circular n-digit numbers with adjacent digits differing by 2 or less.

%C [Empirical] a(base,n)=a(base-1,n)+A005191(n+1) for base>=2.int(n/2)+1.

%C See A285280 for confirmation of linear recurrence and code to produce sequence. - _Ray Chandler_, Aug 12 2023.

%H Ray Chandler, <a href="/A124994/b124994.txt">Table of n, a(n) for n = 0..99</a>

%H <a href="/index/Rec#order_31">Index entries for linear recurrences with constant coefficients</a>, signature (31, -406, 2842, -10620, 13482, 47644, -203320, 116472, 718520, -1203203, -1067623, 3598942, 266418, -6000745, 1487245, 6344334, -2536210, -4431623, 2057355, 2052819, -971343, -616179, 272587, 113730, -43330, -11711, 3451, 553, -105, -7, 1).

%o (S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-1](($[i]`-$[(i+1)mod N]`>2)+($[(i+1)mod N]`-$[i]`>2))

%Y Cf. Row 31 of A285280.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)