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A028178
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Expansion of 1/((1-5x)(1-6x)(1-10x)(1-12x)).
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1
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1, 33, 697, 12045, 186001, 2677653, 36790057, 489351885, 6359059201, 81227776773, 1024237953817, 12787834412925, 158435642617201, 1951116268675893, 23912720464211977, 291948566493573165, 3553358170873164001, 43140149525240231013, 522680899336759084537
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = (4*12^(n+2)-7*10^(n+2)+7*6^(n+2)-4*5^(n+2))/28. [Yahia Kahloune, Jun 04 2013]
G.f.: 1/((1-5x)(1-6x)(1-10x)(1-12x)).
a(n) = 33*a(n-1)-392*a(n-2)+1980*a(n-3)-3600*a(n-4). - Wesley Ivan Hurt, Mar 10 2015
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MAPLE
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MATHEMATICA
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CoefficientList[Series[1/((1 - 5 x) (1 - 6 x) (1 - 10 x) (1 - 12 x)), {x, 0, 20}], x]
LinearRecurrence[{33, -392, 1980, -3600}, {1, 33, 697, 12045}, 20] (* Harvey P. Dale, Jul 26 2020 *)
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PROG
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(Magma) [(4*12^(n+2)-7*10^(n+2)+7*6^(n+2)-4*5^(n+2))/28 : n in [0..20]]; // Wesley Ivan Hurt, Mar 10 2015
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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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