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A003479
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Expansion of 1/((1-x)*(1-x-2*x^3)).
(Formerly M0781)
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2
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1, 2, 3, 6, 11, 18, 31, 54, 91, 154, 263, 446, 755, 1282, 2175, 3686, 6251, 10602, 17975, 30478, 51683, 87634, 148591, 251958, 427227, 724410, 1228327, 2082782, 3531603, 5988258, 10153823, 17217030, 29193547, 49501194, 83935255, 142322350
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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REFERENCES
| D. E. Daykin and S. J. Tucker, Introduction to Dragon Curves. Unpublished, 1976.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| 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.
Index to sequences with linear recurrences with constant coefficients, signature (2,-1,2,-2).
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FORMULA
| A003476(n+1) + A077949(n)/2 - 1/2. - R. Stephan, Sep 25 2004
a(n+1)-a(n) = A077949(n+1). - R. J. Mathar, Mar 22 2011
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MAPLE
| A003479:=1/(z-1)/(-1+z+2*z**3); [S. Plouffe in his 1992 dissertation.]
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CROSSREFS
| Cf. A003229.
Sequence in context: A131512 A147388 A180712 * A093367 A054186 A032156
Adjacent sequences: A003476 A003477 A003478 * A003480 A003481 A003482
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KEYWORD
| easy,nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 29 2003
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