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A094865
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G.f.: x^3/( (1-3*x+x^2)*(1-5*x+5*x^2) ).
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2
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0, 0, 0, 1, 8, 43, 196, 820, 3264, 12597, 47652, 177859, 657800, 2417416, 8844448, 32256553, 117378336, 426440955, 1547491404, 5610955132, 20332248992, 73645557469, 266668876540, 965384509651, 3494279574288, 12646311635088, 45764967830976, 165605867248465
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| With a different offset, number of sequences (s(0), s(1), ..., s(2k+1)) such that 0 < s(i) < 10 and |s(i) - s(i-1)| = 1 for i = 1,2,....,2k+1, with s(0) = 1 and s(2n+1) = 8.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients, signature (8,-21,20,-5).
Roger L. Bagula and Gary W. Adamson, Comments on this sequence
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FORMULA
| a(n)=(1/5)*Sum(r, 1, 9, Sin(r*Pi/10)Sin(4*r*Pi/5)(2Cos(r*Pi/10))^(2n+1));
a(n)=8a(n-1)-21a(n-2)+20a(n-3)-5a(n-4).
a(n) = A093129(n)/2-A122367(n)/2. - R. J. Mathar, Jun 24 2011
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CROSSREFS
| Sequence in context: A055853 A137748 A005024 * A122880 A171479 A099253
Adjacent sequences: A094862 A094863 A094864 * A094866 A094867 A094868
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KEYWORD
| nonn
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AUTHOR
| Herbert Kociemba (kociemba(AT)t-online.de), Jun 15 2004
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Aug 09 2008
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