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A124953 Number of base 25 circular n-digit numbers with adjacent digits differing by 2 or less. 1

%I #10 Aug 12 2023 11:15:22

%S 1,25,119,445,1947,8575,38747,177223,819187,3816247,17891349,84312583,

%T 399037959,1895486995,9032061297,43155077395,206685100995,

%U 991968231607,4769763119885,22973188788967,110815066535017,535263089155897

%N Number of base 25 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="/A124953/b124953.txt">Table of n, a(n) for n = 0..99</a>

%H <a href="/index/Rec#order_25">Index entries for linear recurrences with constant coefficients</a>, signature (25, -253, 1265, -2674, -2240, 21374, -23256, -51850, 111350, 49001, -222697, 3926, 248990, -47344, -166462, 41345, 66379, -16465, -14979, 3200, 1700, -265, -75, 5, 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 25 of A285280.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified April 24 15:37 EDT 2024. Contains 371960 sequences. (Running on oeis4.)