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A021029
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Expansion of 1/((1-x)*(1-2*x)*(1-3*x)*(1-6*x)).
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3
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1, 12, 97, 672, 4333, 26964, 164809, 998184, 6017605, 36192156, 217414561, 1305276336, 7834033117, 47011340388, 282089500153, 1692601439928, 10155802087669, 60935393132460, 365614101138385
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OFFSET
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0,2
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COMMENTS
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LINKS
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FORMULA
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G.f.: 1/((1-x)*(1-2*x)*(1-3*x)*(1-6*x)).
a(n) = (-1+5*2^(n+2)-5*3^(n+2)+6^(n+2))/10. - Bruno Berselli, Sep 02 2011
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MAPLE
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seq(-1/10 + 2^(n+1) - (9*3^n)/2 + (18*6^n)/5, n=0..40); # Robert Israel, Dec 05 2020
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MATHEMATICA
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CoefficientList[Series[1/((1 - x)(1 - 2x)(1 - 3x)(1 - 6x)), {x, 0, 30}], x] (* Harvey P. Dale, Mar 14 2011 *)
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PROG
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(Magma) [(-1+5*2^(n+2)-5*3^(n+2)+6^(n+2))/10: n in [0..20]]; // Vincenzo Librandi, Sep 02 2011
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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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