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Search: id:A078012
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| A078012 |
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Expansion of (1-x)/(1-x-x^3). |
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+0
9
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| 1, 0, 0, 1, 1, 1, 2, 3, 4, 6, 9, 13, 19, 28, 41, 60, 88, 129, 189, 277, 406, 595, 872, 1278, 1873, 2745, 4023, 5896, 8641, 12664, 18560, 27201, 39865, 58425, 85626, 125491, 183916, 269542, 395033, 578949, 848491, 1243524, 1822473, 2670964, 3914488, 5736961, 8407925
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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Galois polynomial expansion (called a D transform in Booth) of GF(2^3): a(n)=expansion((1 + t)/(t^3 + t + 1)). - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 21 2008
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REFERENCES
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C. K. Fan, Structure of a Hecke algebra quotient. J. Amer. Math. Soc. 10 (1997), no. 1, 139-167. [Page 156, f_n.]
Taylor L. Booth, Sequential Machines and Automata Theory, John Wiley and Sons, Inc., 1967, page 331ff.
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FORMULA
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a(n+1) = A13979(n) + A135851(n) + A107458(n).
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MATHEMATICA
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Table[ ExpandAll[SeriesCoefficient[Series[(1 + t)/(t^3 + t + 1), {t, 0, 30}], n]], {n, 0, 30}] - Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Sep 21 2008
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CROSSREFS
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Essentially the same as A000930 and A068921.
Sequence in context: A017826 A000930 A068921 this_sequence A135851 A101913 A121653
Adjacent sequences: A078009 A078010 A078011 this_sequence A078013 A078014 A078015
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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), Nov 17 2002, Mar 08 2008
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