A124952 - OEIS

%I #10 Aug 12 2023 11:13:34

%S 1,24,114,426,1862,8194,36996,169088,781022,3635922,17034404,80221088,

%T 379426784,1801177896,8577255542,40956427846,196033612206,

%U 940269589202,4518417570036,21749390784152,104848429735272,506137481003552

%N Number of base 24 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="/A124952/b124952.txt">Table of n, a(n) for n = 0..99</a>

%H <a href="/index/Rec#order_23">Index entries for linear recurrences with constant coefficients</a>, signature (24, -231, 1078, -1975, -2716, 16928, -12648, -44490, 67520, 55299, -131598, -32826, 137368, 4960, -82672, 4208, 28400, -2247, -5170, 395, 420, -25, -10).

%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 24 of A285280.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006