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A003479 Expansion of 1/((1-x)*(1-x-2*x^3)).
(Formerly M0781)
+0
2
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; listen)
OFFSET

0,2

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 Unpublished, 1976.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).

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.

FORMULA

A003476(n+1) + A077949(n)/2 - 1/2. - R. Stephan, Sep 25 2004

MAPLE

A003479:=1/(z-1)/(-1+z+2*z**3); [Conjectured by S. Plouffe in his 1992 dissertation.]

CROSSREFS

Cf. A003229.

Sequence in context: A059100 A131512 A147388 this_sequence A093367 A054186 A032156

Adjacent sequences: A003476 A003477 A003478 this_sequence A003480 A003481 A003482

KEYWORD

easy,nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Mar 29 2003

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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