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Search: id:A003481
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| A003481 |
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a(n) = 7a(n-1) - a(n-2) + 5.
(Formerly M2120)
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+0
4
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| 2, 20, 143, 986, 6764, 46367, 317810, 2178308, 14930351, 102334154, 701408732, 4807526975, 32951280098, 225851433716, 1548008755919, 10610209857722, 72723460248140, 498454011879263, 3416454622906706
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
S. M. Tanny and M. Zuker, On a unimodal sequence of binomial coefficients, Discrete Math. 9 (1974), 79-89.
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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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Fibonacci(4(n+1))-1 = A033888(n+1)-1. - Ralf Stephan, Feb 24 2004, index corrected R. J. Mathar, Sep 18 2008
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MAPLE
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A003481:=(-2-4*z+z**2)/(z-1)/(z**2-7*z+1); [S. Plouffe in his 1992 dissertation.]
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CROSSREFS
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Sequence in context: A094254 A093647 A003490 this_sequence A081006 A000183 A081159
Adjacent sequences: A003478 A003479 A003480 this_sequence A003482 A003483 A003484
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Ralf Stephan, Feb 24 2004
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