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Search: id:A033129
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| A033129 |
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Base 2 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0. |
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+0
1
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| 0, 1, 3, 6, 13, 27, 54, 109, 219, 438, 877, 1755, 3510, 7021, 14043, 28086, 56173, 112347, 224694, 449389, 898779, 1797558, 3595117, 7190235, 14380470, 28760941, 57521883, 115043766, 230087533, 460175067, 920350134, 1840700269
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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Number of moves to separate a Hanoi Tower into two towers of even resp. odd stones. - Martin von Gagern (Martin.vGagern(AT)gmx.net), May 26 2004
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LINKS
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Mohammad Sajjad Hossain, reArrange.
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FORMULA
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Partial sums of abs(A078043). G.f.: x(1+x)/((1-x)(1-2x)(1+x+x^2))=x(1+x)/(1-2x-x^3+2x^4); a(n)=6*2^n/7-4cos(2pi*n/3)/21-2sqrt(3)sin(2pi*n/3)/21-2/3. - Paul Barry (pbarry(AT)wit.ie), Jan 23 2004
a(n) = a(n-3) + 3 * 2^(n-3). - Martin von Gagern (Martin.vGagern(AT)gmx.net), May 26 2004
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CROSSREFS
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Adjacent sequences: A033126 A033127 A033128 this_sequence A033130 A033131 A033132
Sequence in context: A125049 A123247 A112306 this_sequence A079403 A065830 A055143
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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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