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A163941
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Fourth right hand column of triangle A163940
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2
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1, 9, 52, 246, 1039, 4083, 15274, 55152, 193957, 668397, 2266816, 7589418, 25143355, 82571751, 269173078, 871958244, 2809322833, 9008574945, 28768068460, 91532284830, 290283189991, 917912770779, 2894936303362
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OFFSET
| 0,2
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FORMULA
| Gf(x) = 1/((1-x)*(1-2*x)*(1-3*x)^2)
a(n) = 8*2^n+(9/2*n+9/2)*3^n-45/4*3^n-1/4
a(n) = 9*a(n-1)-29*a(n-2)+39*a(n-3)-18*a(n-4)
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MATHEMATICA
| LinearRecurrence[{9, -29, 39, -18}, {1, 9, 52, 246}, 30] (* or *) CoefficientList[ Series[1/((1-x)(1-2x)(1-3x)^2), {x, 0, 30}], x] (* From Harvey P. Dale, Aug 14 2011 *)
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CROSSREFS
| Equals the fourth right hand column of A163940.
A163942 is another right hand column.
Sequence in context: A197722 A172470 A120665 * A159598 A156544 A094793
Adjacent sequences: A163938 A163939 A163940 * A163942 A163943 A163944
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KEYWORD
| easy,nonn
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AUTHOR
| Johannes W. Meijer (meijgia(AT)hotmail.com), Aug 13 2009
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