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A003477
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Expansion of 1/((1-2x)(1+x^2)(1-x-2x^3)).
(Formerly M2579)
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1
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1, 3, 6, 14, 33, 71, 150, 318, 665, 1375, 2830, 5798, 11825, 24039, 48742, 98606, 199113, 401455, 808382, 1626038, 3267809, 6562295, 13169814, 26416318, 52962681, 106145855, 212665582, 425965126, 853005201, 1707833095, 3418756806
(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 Unpublished, 1976.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.
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FORMULA
| a(0)=1; for n>0, a(n)=3*a(n-1)-3*a(n-2)+5*a(n-3)-6*a(n-4)+2*a(n-5)-4*a(n-6) (where a(n)=0 for -5<=n<=-1) [From Jon E. Schoenfield (jonscho(AT)hiwaay.net), Apr 23 2010]
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MAPLE
| A003477:=1/(2*z-1)/(-1+z+2*z**3)/(1+z**2); [S. Plouffe in his 1992 dissertation.]
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CROSSREFS
| Sequence in context: A182905 A192678 A114945 * A078062 A018017 A184785
Adjacent sequences: A003474 A003475 A003476 * A003478 A003479 A003480
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
| More terms from Jon E. Schoenfield (jonscho(AT)hiwaay.net), Apr 23 2010
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