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Search: id:A038508
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| A038508 |
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Expansion of (1-2*x-x^2)/(1-4*x+2*x^2+4*x^3). |
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2
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| 1, 2, 5, 12, 30, 76, 196, 512, 1352, 3600, 9648, 25984, 70240, 190400, 517184, 1406976, 3831936, 10445056, 28488448, 77735936, 212186624, 579320832, 1581966336, 4320477184, 11800692736, 32233951232
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Number of (s(0), s(1), ..., s(n+1)) such that 0 < s(i) < 6 and |s(i) - s(i-1)| <= 1 for i = 1,2,....,n+1, s(0) = 1, s(n+1) = 2. - Herbert Kociemba (kociemba(AT)t-online.de), Jun 17 2004
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FORMULA
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a(n)=(3*2^(n+1) - Sqrt[3](1-Sqrt[3])^(n+1) + Sqrt[3](1+Sqrt[3])^(n+1))/12 - Herbert Kociemba (kociemba(AT)t-online.de), Jun 17 2004
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CROSSREFS
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First differences are in A094297.
Sequence in context: A108360 A051163 A051450 this_sequence A002026 A105695 A026938
Adjacent sequences: A038505 A038506 A038507 this_sequence A038509 A038510 A038511
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KEYWORD
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nonn
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AUTHOR
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njas
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