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Search: id:A000322
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| A000322 |
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Pentanacci numbers.
(Formerly M3786 N1542)
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+0
17
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| 1, 1, 1, 1, 1, 5, 9, 17, 33, 65, 129, 253, 497, 977, 1921, 3777, 7425, 14597, 28697, 56417, 110913, 218049, 428673, 842749, 1656801, 3257185, 6403457, 12588865, 24749057
(list; graph; listen)
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OFFSET
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0,6
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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).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
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.
B. G. Baumgart, Letter to the editor, Fib. Quart. 2 (1964), 260, 302.
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LINKS
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T. D. Noe, Table of n, a(n) for n=0..200
Joerg Arndt, Fxtbook
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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A000322:=(-1+z**2+2*z**3+3*z**4)/(-1+z**2+z**3+z+z**4+z**5); [Conjectured by S. Plouffe in his 1992 dissertation.]
a:= n-> (Matrix([[1$5]]). Matrix(5, (i, j)-> if (i=j-1) or j=1 then 1 else 0 fi)^n)[1, 5]; seq (a(n), n=0..28); [From Alois P. Heinz (heinz(AT)hs-heilbronn.de), Aug 26 2008]
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CROSSREFS
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Cf. A000045, A000288, A000383, A060455.
Sequence in context: A081295 A160426 A059743 this_sequence A020737 A147401 A062536
Adjacent sequences: A000319 A000320 A000321 this_sequence A000323 A000324 A000325
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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