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Search: id:A005126
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| A005126 |
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2^n + n + 1.
(Formerly M1061)
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+0
6
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| 2, 4, 7, 12, 21, 38, 71, 136, 265, 522, 1035, 2060, 4109, 8206, 16399, 32784, 65553, 131090, 262163, 524308, 1048597, 2097174, 4194327, 8388632, 16777241, 33554458, 67108891, 134217756, 268435485, 536870942, 1073741855, 2147483680, 4294967329, 8589934626
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Binomial transform of (1, 1, 1, 0, 1, 0, 1, 0, 1,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 20 2007
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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.
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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.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 921
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MAPLE
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A005126:=-(2-4*z+z**2)/(2*z-1)/(z-1)**2; [Conjectured by S. Plouffe in his 1992 dissertation.]
g:=z/(1-2*z): gser:=series(g, z=0, 43): seq(coeff(gser, z, n)+n, n=1..34); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 11 2009]
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MATHEMATICA
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s=2; lst={s}; Do[s+=(s-n); AppendTo[lst, Abs[s]], {n, 0, 5!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Oct 10 2008]
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CROSSREFS
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Essentially the same as row sums of A128715.
Sequence in context: A000709 A054161 A023433 this_sequence A054151 A018176 A135460
Adjacent sequences: A005123 A005124 A005125 this_sequence A005127 A005128 A005129
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KEYWORD
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nonn
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AUTHOR
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C. L. Mallows (colinm(AT)research.avayalabs.com)
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EXTENSIONS
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More terms from N. J. A. Sloane (njas(AT)research.att.com), Sep 28 2007
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