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A100443
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Inverse binomial transform of A003418.
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2
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1, 0, 1, 2, -3, 44, -215, 1014, -3647, 11528, -35919, 135530, -597179, 2850132, -13623623, 60226334, -236639535, 832756304, -2732731487, 9035612658, -33172306739, 138937617020, -615393110199, 2649206536262, -10668440765663, 40078777939224, -142523015012975
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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FORMULA
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MATHEMATICA
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A100443[n_]:= (-1)^n +Sum[(-1)^(n-k)*Binomial[n, k]*Apply[LCM, Range[1, k]], {k, n}];
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PROG
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(Magma) [(&+[(-1)^(n-k)*Binomial(n, k)*Lcm([1..k]): k in [0..n]]): n in [0..50]]; // G. C. Greubel, Apr 08 2023
(SageMath)
def A100443(n): return sum((-1)^(n-k)*binomial(n, k)*lcm(range(1, k+1)) for k in range(n+1) )
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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