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Search: id:A024175
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| A024175 |
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Expansion of (x^3-6*x^2+5*x-1)/((2*x-1)*(2*x^2-4*x+1)) |
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+0
5
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| 1, 1, 2, 5, 14, 42, 132, 428, 1416, 4744, 16016, 54320, 184736, 629280, 2145600, 7319744, 24979584, 85262464, 291057920, 993641216, 3392317952, 11581727232, 39541748736, 135002491904, 460924372992, 1573688313856, 5372896120832
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OFFSET
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0,3
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COMMENT
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Number of (s(0), s(1), ..., s(2n)) such that 0 < s(i) < 8 and |s(i) - s(i-1)| = 1 for i = 1,2,....,2n, s(0) = 1, s(2n) = 1. - Herbert Kociemba (kociemba(AT)t-online.de), Jun 11 2004
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FORMULA
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a(n)=(1/4)*Sum(r, 1, 7, Sin(r*Pi/8)^2(2Cos(r*Pi/8))^(2n)), n>=1 a(n)= 6a(n-1)-10a(n-2)+4a(n-3), n>=4 - Herbert Kociemba (kociemba(AT)t-online.de), Jun 11 2004
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CROSSREFS
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Sequence in context: A061922 A162746 A148329 this_sequence A152226 A054393 A036768
Adjacent sequences: A024172 A024173 A024174 this_sequence A024176 A024177 A024178
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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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