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A029015
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Expansion of 1/((1-x)(1-x^2)(1-x^5)(1-x^11)).
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0
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1, 1, 2, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 16, 18, 21, 24, 27, 30, 33, 37, 41, 46, 50, 55, 60, 66, 72, 78, 84, 91, 98, 106, 114, 122, 131, 140, 150, 160, 170, 181, 192, 204, 216, 229, 242, 256, 270, 285, 300, 316, 332
(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)=2, a(4)=3, a(5)=4, a(6)=5, a(7)=6, a(8)=7, a(9)=8, a(10)=10, a(11)=12, a(12)=14, a(13)=16, a(14)=18, a(15)=21, a(16)=24, a(17)=27, a(18)=30, a(n)=a(n-1)+a(n-2)-a(n-3)+a(n-5)-a(n-6)- a(n-7)+a(n-8)+a(n-11)-a(n-12)-a(n-13)+a(n-14)-a(n-16)+a(n-17)+ a(n-18)- a(n-19) [From Harvey P. Dale, Dec 24 2011]
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MAPLE
| M := Matrix(19, (i, j)-> if (i=j-1) or (j=1 and member(i, [1, 2, 5, 8, 11, 14, 17, 18])) then 1 elif j=1 and member(i, [3, 6, 7, 12, 13, 16, 19]) then -1 else 0 fi); a := n -> (M^(n))[1, 1]; seq (a(n), n=0..51); - Alois P. Heinz (heinz(AT)hs-heilbronn.de), Jul 25 2008
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MATHEMATICA
| CoefficientList[Series[1/((1-x)(1-x^2)(1-x^5)(1-x^11)), {x, 0, 60}], x] (* From Harvey P. Dale, Dec 24 2011 *)
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CROSSREFS
| Sequence in context: A017874 A029016 A121385 * A000008 A001312 A001301
Adjacent sequences: A029012 A029013 A029014 * A029016 A029017 A029018
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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