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A086570
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G.f.: (1 + 3x + 5x^2 + 7x^3...) / (1 - 2x + 3x^2 - 4x^3...).
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4
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1, 5, 12, 20, 28, 36, 44, 52, 60, 68, 76, 84, 92, 100, 108, 116, 124, 132, 140, 148, 156, 164, 172, 180, 188, 196, 204, 212, 220, 228, 236, 244, 252, 260, 268, 276, 284, 292, 300, 308, 316, 324, 332, 340, 348, 356, 364, 372, 380, 388, 396, 404, 412, 420, 428
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Row sums of number triangle A113128. - Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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REFERENCES
| Gary W. Adamson
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
| a(0) = 1, a(1) = 5, a(2) = 12; then a(n+1) = a(n) + 8, n>2.
G.f.: (1+x)^3/(1-x)^2; a(n)=8n-4+4*C(0, n)+C(1, n); a(n)=C(n+1, n)+3*C(n, n-1)+3*C(n-1, n-2)+C(n-2, n-3); - Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
a(n)=A017113(n-1), n>1. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 12 2008]
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EXAMPLE
| a(6) = 44 = 8 + a(5) = 8 + 36
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MATHEMATICA
| CoefficientList[Series[(z^3 + 3*z^2 + 3*z + 1)/(z - 1)^2, {z, 0, 100}], z] (* and *) Join[{1, 5}, Table[4*(2*(n + 1) + 1), {n, 0, 100}]] (* From Vladimir Joseph Stephan Orlovsky, Jul 17 2011 *)
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CROSSREFS
| Sequence in context: A139692 A099192 A047077 * A063559 A121291 A097984
Adjacent sequences: A086567 A086568 A086569 * A086571 A086572 A086573
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KEYWORD
| nonn
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 22 2003
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EXTENSIONS
| More terms from Paul Barry (pbarry(AT)wit.ie), Oct 14 2005
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