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Search: id:A094788
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| A094788 |
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Number of (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 10 and |s(i) - s(i-1)| = 1 for i = 1,2,....,2n+1, s(0) = 1, s(2n+1) = 6. |
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+0
1
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| 1, 6, 27, 110, 428, 1624, 6069, 22458, 82555, 302082, 1101816, 4009616, 14567657, 52865230, 191684283, 694609494, 2515972324, 9110338728, 32981059485, 119377761602, 432046756571, 1563510554986, 5657752486512, 20472344560800
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OFFSET
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2,2
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FORMULA
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a(n)=(1/5)*Sum(r, 1, 9, Sin(r*Pi/10)Sin(3*r*Pi/5)(2Cos(r*Pi/10))^(2n+1)) a(n)=8a(n-1)-21a(n-2)+20a(n-3)-5a(n-4) G.f.: x^2(1-2x)/(1-8x+21x^2-20x^3+5x^4)
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CROSSREFS
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Sequence in context: A055145 A037604 A022634 this_sequence A003517 A108958 A005284
Adjacent sequences: A094785 A094786 A094787 this_sequence A094789 A094790 A094791
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KEYWORD
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nonn
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AUTHOR
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Herbert Kociemba (kociemba(AT)t-online.de), Jun 15 2004
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