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A124954
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Number of base 26 circular n-digit numbers with adjacent digits differing by 2 or less.
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1
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1, 26, 124, 464, 2032, 8956, 40498, 185358, 857352, 3996572, 18748294, 88404078, 418649134, 1989796094, 9486867052, 45353726944, 217336589784, 1043666874012, 5021108669734, 24196986793782, 116781703334762
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OFFSET
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0,2
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COMMENTS
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[Empirical] a(base,n)=a(base-1,n)+A005191(n+1) for base>=2.int(n/2)+1.
See A285280 for confirmation of linear recurrence and code to produce sequence. - Ray Chandler, Aug 12 2023.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (26, -276, 1472, -3520, -1364, 26235, -38076, -55671, 171530, 18971, -349296, 102674, 410216, -187435, -296636, 150952, 132708, -65631, -35400, 15386, 5160, -1755, -340, 75, 6, -1).
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PROG
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(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))
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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