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A030015 Binomial transform of {1, primes}. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..26.

N. J. A. Sloane, Transforms

FORMULA

O.g.f. Prime(x/(1-x))), Prime(x)=sum(n>0,A008578(n)*x^n) [From Vladimir Kruchinin, Aug 11 2010]

MATHEMATICA

Flatten[{1, Table[1 + Sum[Binomial[n, k]*Prime[k], {k, 1, n}], {n, 1, 30}]}] (* Vaclav Kotesovec, Oct 29 2017 *)

CROSSREFS

Cf. A050513.

Sequence in context: A027930 A038200 A291039 * A318567 A103446 A218482

Adjacent sequences:  A030012 A030013 A030014 * A030016 A030017 A030018

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified February 19 16:02 EST 2019. Contains 320311 sequences. (Running on oeis4.)