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Search: id:A003476
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| A003476 |
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a(n) = a(n-1) + 2a(n-3).
(Formerly M0705)
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+0
4
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| 1, 2, 3, 5, 9, 15, 25, 43, 73, 123, 209, 355, 601, 1019, 1729, 2931, 4969, 8427, 14289, 24227, 41081, 69659, 118113, 200275, 339593, 575819, 976369, 1655555
(list; graph; listen)
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OFFSET
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1,2
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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 Unpublished, 1976.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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T. D. Noe, Table of n, a(n) for n=1..500
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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MAPLE
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A003476:=-(1+z+z**2)/(-1+z+2*z**3); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Equals A003229(n) + A052537(n+1) and (1/4) |A078044(n+2)|.
Sequence in context: A067798 A074693 A097083 this_sequence A017989 A017990 A005517
Adjacent sequences: A003473 A003474 A003475 this_sequence A003477 A003478 A003479
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KEYWORD
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nonn
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AUTHOR
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njas
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