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A124998 Number of base 32 circular n-digit numbers with adjacent digits differing by 2 or less. 2

%I #10 Aug 12 2023 11:30:01

%S 1,32,154,578,2542,11242,51004,234168,1086342,5078522,23889964,

%T 112953048,536316184,2555650688,12215701582,58545624238,281245522518,

%U 1353858728442,6529181968828,31539774822672,152581524133232

%N Number of base 32 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="/A124998/b124998.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 (32, -435, 3190, -12761, 19684, 48086, -258700, 231499, 837384, -1863852, -875664, 5434855, -1213796, -9107594, 4936580, 9823160, -7075200, -7101166, 5814524, 3467879, -2974948, -1126675, 951098, 234114, -182448, -28910, 19180, 1855, -924, -49, 14).

%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 32 of A285280.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)