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Search: id:A005618
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| A005618 |
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a(n)=6*a(n-1) - 8.
(Formerly M3528)
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+0
1
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| 4, 16, 88, 520, 3112, 18664, 111976, 671848, 4031080, 24186472, 145118824, 870712936, 5224277608, 31345665640, 188073993832, 1128443962984, 6770663777896
(list; graph; listen)
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OFFSET
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0,1
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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).
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.
K. K. Maitra, Cascaded switching networks of two-input flexible cells, IEEE Trans. Electron. Computers, C-11 (1962), 136-143.
J. T. Butler, Tandem networks of universal cells, IEEE Trans. Computers, C-27 (1978), 681-690.
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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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FORMULA
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a(n)=(4/5)*(2+3*6^n), with n>=0. - Paolo P. Lava (ppl(AT)spl.at), Jun 25 2008
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MAPLE
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A005618:=-4*(-1+3*z)/(6*z-1)/(z-1); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A006681 A074876 A165964 this_sequence A005495 A052124 A013030
Adjacent sequences: A005615 A005616 A005617 this_sequence A005619 A005620 A005621
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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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