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A291987
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Expansion of 1/((1-x)*(1-2*x^2)*(1-3*x^3)*(1-4*x^4)).
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3
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1, 1, 3, 6, 14, 20, 45, 69, 135, 210, 378, 576, 1057, 1561, 2667, 4110, 6902, 10220, 17109, 25485, 41583, 62250, 99666, 147960, 238633, 350881, 553107, 825126, 1292942, 1899620, 2977821, 4381269, 6791127, 10025730, 15415722, 22645296, 34970545, 51140521
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,2,1,1,-10,-2,-4,12,24,-24).
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FORMULA
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a(n) = a(n-1) + 2*a(n-2) + a(n-3) + a(n-4) - 10*a(n-5) - 2*a(n-6) - 4*a(n-7) + 12*a(n-8) + 24*a(n-9) - 24*a(n-10) for n >= 11. - Muniru A Asiru, Sep 07 2017
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PROG
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(PARI) Vec(1/((1-x)*(1-2*x^2)*(1-3*x^3)*(1-4*x^4)) + O(x^100))
(GAP)
a:=[1, 1, 3, 6, 14, 20, 45, 69, 135, 210];;
for n in [11..10^2] do a[n]:=a[n-1]+2*a[n-2]+a[n-3]+a[n-4]-10*a[n-5]-2*a[n-6]-4*a[n-7]+12*a[n-8]+24*a[n-9]-24*a[n-10]; od; a; # Muniru A Asiru, Sep 07 2017
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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