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Search: id:A003478
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| A003478 |
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Expansion of 1/(1-2x)(1-x-2x^3 ).
(Formerly M2662)
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+0
1
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| 1, 3, 7, 17, 39, 85, 183, 389, 815, 1693, 3495, 7173, 14655, 29837, 60567, 122645, 247855, 500061, 1007495, 2027493, 4076191, 8188333, 16437623, 32978613, 66132495
(list; graph; listen)
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OFFSET
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0,2
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REFERENCES
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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.
D. E. Daykin and S. J. Tucker, Introduction to Dragon Curves. Unpublished, 1976.
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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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2^n - 3 * A003476(n+1) + A052537(n). - R. Stephan, Sep 25 2004
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MAPLE
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A003478:=1/(2*z-1)/(-1+z+2*z**3); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Adjacent sequences: A003475 A003476 A003477 this_sequence A003479 A003480 A003481
Sequence in context: A033489 A026396 A141199 this_sequence A119587 A127984 A077927
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KEYWORD
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nonn
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AUTHOR
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njas
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