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Search: id:A003229
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| A003229 |
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a(n) = a(n-1) + 2*a(n-3).
(Formerly M2419)
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+0
7
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| 1, 1, 3, 5, 7, 13, 23, 37, 63, 109, 183, 309, 527, 893, 1511, 2565, 4351, 7373, 12503, 21205, 35951, 60957, 103367, 175269, 297183, 503917, 854455, 1448821, 2456655, 4165565, 7063207, 11976517, 20307647, 34434061, 58387095, 99002389
(list; graph; listen)
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OFFSET
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0,3
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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 Unpublished, 1976.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.
INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 417
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MAPLE
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seq(add(binomial(n-2*k, k)*2^k, k=0..floor(n/3)), n=1..38); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 03 2007
A003229:=-(1+2*z**2)/(-1+z+2*z**3); [Conjectured by S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Essentially the same as A077949 and |A077974|. First differences of A003479. Partial sums of A052537. Equals |A077906(n)|+|A077906(n+1)|.
Sequence in context: A085013 A125272 A127443 this_sequence A077949 A077974 A126273
Adjacent sequences: A003226 A003227 A003228 this_sequence A003230 A003231 A003232
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KEYWORD
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nonn,easy
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AUTHOR
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njas
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EXTENSIONS
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More terms from James A. Sellers (sellersj(AT)math.psu.edu), Jul 06 2000
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