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0, 0, 0, 0, 1, 3, 6, 11, 18, 28, 40, 55, 73, 95, 121, 151, 186, 226, 272, 323, 380, 443, 513, 590, 674, 766, 866, 975, 1092, 1218, 1353, 1498, 1653, 1818, 1994, 2181, 2380, 2590, 2812, 3046, 3293, 3553, 3826
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (4,-6,3,3,-6,3,3,-6,4,-1). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 15 2010]
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FORMULA
| G.f.: [x^4(1-x+x^2)(1-x^2+x^3)]/[(1-x)^3*(1-x^9)]. - R. Stephan, Mar 05 2004
a(n) = +4*a(n-1) -6*a(n-2) +3*a(n-3) +3*a(n-4) -6*a(n-5) +3*a(n-6) +3*a(n-7) -6*a(n-8) +4*a(n-9) -a(n-10). G.f.: x^4*(x^2-x+1)*(x^3-x^2+1) / ( (-1+x)^4*(x^6+x^3+1) ). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 15 2010]
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MAPLE
| seq(floor(binomial(n, 3)/3), n=0..42); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2009]
seq(floor(binomial(n, 3)/3), n=0..42); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 12 2009]
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CROSSREFS
| A column of triangle A011857.
Sequence in context: A172046 A014125 A147456 * A173690 A178855 A095944
Adjacent sequences: A011846 A011847 A011848 * A011850 A011851 A011852
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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