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A030015
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Binomial transform of {1, primes}.
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3
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1, 3, 8, 21, 54, 137, 342, 837, 2006, 4713, 10882, 24771, 55764, 124465, 275934, 608283, 1334120, 2911871, 6325092, 13674121, 29425308, 63042233, 134517426, 285984131, 606056546, 1280778343, 2700105566
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..26.
N. J. A. Sloane, Transforms
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FORMULA
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O.g.f. Prime(x/(1-x))), Prime(x)=sum(n>0,A008578(n)*x^n) [From Vladimir Kruchinin, Aug 11 2010]
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MATHEMATICA
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Flatten[{1, Table[1 + Sum[Binomial[n, k]*Prime[k], {k, 1, n}], {n, 1, 30}]}] (* Vaclav Kotesovec, Oct 29 2017 *)
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CROSSREFS
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Cf. A050513.
Sequence in context: A027930 A038200 A291039 * A318567 A103446 A218482
Adjacent sequences: A030012 A030013 A030014 * A030016 A030017 A030018
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane.
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STATUS
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approved
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