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A008768
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Expansion of (1+x^7)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).
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0
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1, 1, 2, 3, 5, 6, 9, 12, 16, 20, 26, 32, 40, 48, 58, 69, 82, 95, 111, 128, 147, 167, 190, 214, 241, 269, 300, 333, 369, 406, 447, 490, 536, 584, 636, 690, 748, 808, 872, 939, 1010, 1083, 1161, 1242, 1327
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(0)=1, a(1)=1, a(2)=2, a(3)=3, a(4)=5, a(5)=6, a(6)=9, a(7)=12, a(8)=16, a(n)=2*a(n-1)-a(n-2)+a(n-3)-a(n-4)-a(n-5)+a(n-6)-a(n-7)+2*a(n-8)-a(n-9) [From Harvey P. Dale, Jul 06 2011]
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MATHEMATICA
| CoefficientList[Series[(1+x^7)/(1-x)/(1-x^2)/(1-x^3)/(1-x^4), {x, 0, 50}], x] (* or *) LinearRecurrence[{2, -1, 1, -1, -1, 1, -1, 2, -1}, {1, 1, 2, 3, 5, 6, 9, 12, 16}, 50] (* From Harvey P. Dale, Jul 06 2011 *)
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CROSSREFS
| Sequence in context: A166247 A126785 A026317 * A067593 A084993 A046966
Adjacent sequences: A008765 A008766 A008767 * A008769 A008770 A008771
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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