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A119490
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Sum of the absolute values in row n of A118687.
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2
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1, 2, 4, 8, 16, 80, 400, 10000, 250000, 48250000, 83424250000, 1441654464250000, 24913230796704250000, 5166032451235389984250000, 1071233655120621702524064250000, 3109835221395024747917162004384250000, 135419643726614411057926317695276801184250000
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OFFSET
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0,2
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LINKS
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MATHEMATICA
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A049614[n_]:= n!/Product[Prime[i], {i, 1, PrimePi[n]}];
b:= Join[{{1}}, Table[CoefficientList[Product[1 -A049614[k]*x, {k, 0, n}], x], {n, 0, 21}]];
Table[Sum[Abs[b[[n, j]]], {j, n}], {n, 20}] (* G. C. Greubel, Feb 07 2021 *)
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PROG
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(Sage)
def A049614(n): return factorial(n)/product( nth_prime(j) for j in (1..prime_pi(n)) )
def A118687(n, k): return ( product(1 -A049614(k)*x for k in (0..n)) ).series(x, n+2).list()[k]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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