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A124957 Number of base 29 circular n-digit numbers with adjacent digits differing by 2 or less. 1

%I #10 Aug 12 2023 11:23:01

%S 1,29,139,521,2287,10099,45751,209763,971847,4537547,21319129,

%T 100678563,477482659,2272723391,10851284317,51949675591,249291056151,

%U 1198762801227,5775145319281,27868380808227,134681613733997

%N Number of base 29 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="/A124957/b124957.txt">Table of n, a(n) for n = 0..99</a>

%H <a href="/index/Rec#order_28">Index entries for linear recurrences with constant coefficients</a>, signature (29, -351, 2223, -7125, 4855, 41169, -116127, -11518, 461660, -394783, -888839, 1297814, 959582, -2082755, -575155, 1998164, 147096, -1203642, 26940, 453526, -29156, -102473, 7707, 12670, -854, -714, 36, 12).

%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 29 of A285280.

%K nonn,base

%O 0,2

%A _R. H. Hardin_, Dec 28 2006

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Last modified April 24 19:06 EDT 2024. Contains 371962 sequences. (Running on oeis4.)