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Search: id:A126363
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| A126363 |
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Number of base 9 n-digit numbers with adjacent digits differing by one or less. |
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+0
5
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| 1, 9, 25, 71, 203, 583, 1679, 4845, 14001, 40503, 117263, 339699, 984515, 2854281, 8277153, 24007543, 69642819, 202046535, 586220911, 1700972653, 4935747673, 14322646039, 41562779655, 120613013891, 350017652003, 1015758270153
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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[Empirical] a(base,n)=a(base-1,n)+3^(n-1) for base>=n; a(base,n)=a(base-1,n)+3^(n-1)-2 when base=n-1
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PROGRAM
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(S/R) stvar $[N]:(0..M-1) init $[]:=0 asgn $[]->{*} kill +[i in 0..N-2](($[i]`-$[i+1]`>1)+($[i+1]`-$[i]`>1))
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CROSSREFS
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Sequence in context: A049740 A111440 A077118 this_sequence A036836 A125997 A110970
Adjacent sequences: A126360 A126361 A126362 this_sequence A126364 A126365 A126366
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KEYWORD
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nonn
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AUTHOR
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Ron Hardin (rhh(AT)cadence.com), Dec 26 2006
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