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Search: id:A005262
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| A005262 |
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[ (7*2^(n+1)-6n-10)/3 ].
(Formerly M2793)
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+0
1
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| 1, 3, 9, 25, 59, 131, 277, 573, 1167, 2359, 4745, 9521, 19075, 38187, 76413, 152869, 305783, 611615, 1223281, 2446617, 4893291, 9786643, 19573349, 39146765, 78293599
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Arises from Tower of Hanoi problem.
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Problem 1169, Crux Mathematicorum, 13 (No. 10, 1987), 328-332.
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LINKS
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S. Plouffe, Approximations de S\'{e}ries G\'{e}n\'{e}ratrices et Quelques Conjectures, Dissertation, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
S. Plouffe, 1031 Generating Functions and Conjectures, Universit\'{e} du Qu\'{e}bec \`{a} Montr\'{e}al, 1992.
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MAPLE
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A005262:=-(1+z**2+4*z**3)/((z+1)*(2*z-1)*(z-1)**2); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A032681 A005209 A112522 this_sequence A004255 A101357 A065971
Adjacent sequences: A005259 A005260 A005261 this_sequence A005263 A005264 A005265
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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