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Search: id:A033116
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| A033116 |
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Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,0. |
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+0
3
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| 1, 6, 37, 222, 1333, 7998, 47989, 287934, 1727605, 10365630, 62193781, 373162686, 2238976117, 13433856702, 80603140213, 483618841278, 2901713047669, 17410278286014, 104461669716085, 626770018296510, 3760620109779061
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OFFSET
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1,2
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FORMULA
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a(n)=floor(6^(n+2)/35); a(n)=sum{k=0..floor(n/2), 6^(n-2k) }; a(n)=sum{k=0..n, sum{j=0..k, (-1)^(j+k)6^j }}. - Paul Barry (pbarry(AT)wit.ie), Nov 12 2003
a(n) = 5 a(n-1) + 6 a(n-2)+1. (a[0]:=0:a[1]:=1) [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2008]
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MAPLE
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a[0]:=0:a[1]:=1:for n from 2 to 50 do a[n]:=5*a[n-1]+6*a[n-2]+1 od: seq(a[n], n=1..33); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Dec 14 2008]
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CROSSREFS
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Sequence in context: A057418 A001419 A081152 this_sequence A033124 A022035 A005668
Adjacent sequences: A033113 A033114 A033115 this_sequence A033117 A033118 A033119
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KEYWORD
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nonn,base
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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