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A107066
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Expansion of 1/(1-2x+x^5).
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8
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1, 2, 4, 8, 16, 31, 60, 116, 224, 432, 833, 1606, 3096, 5968, 11504, 22175, 42744, 82392, 158816, 306128, 590081, 1137418, 2192444, 4226072, 8146016, 15701951, 30266484, 58340524, 112454976, 216763936, 417825921, 805385358, 1552430192, 2992405408, 5768046880
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums of number triangle A107065.
same as A018922 plus first 3 additional terms.--Vladimir Joseph Stephan Orlovsky, Jul 08 2011.
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FORMULA
| a(n)=2a(n-1)-a(n-5); a(n)=sum{k=0..floor(n/5), binomial(n-4k, k)2^(n-2k)(-1)^k}.
a(n) = A018922(n-3) for n>=3. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Mar 09 2007
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MATHEMATICA
| CoefficientList[Series[1/(1 - 2*z + z^5), {z, 0, 100}], z] (* From Vladimir Joseph Stephan Orlovsky, Jul 08 2011 *)
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CROSSREFS
| Cf. A018922.
Sequence in context: A189075 A189077 A118891 * A141019 A152718 A006775
Adjacent sequences: A107063 A107064 A107065 * A107067 A107068 A107069
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KEYWORD
| easy,nonn
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), May 10 2005
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