A362419 Partial sum of the first n even semiprimes.

4, 10, 20, 34, 56, 82, 116, 154, 200, 258, 320, 394, 476, 562, 656, 762, 880, 1002, 1136, 1278, 1424, 1582, 1748, 1926, 2120, 2322, 2528, 2742, 2960, 3186, 3440, 3702, 3976, 4254, 4552, 4854, 5168, 5494, 5828, 6174

Offset

1,1

Comments

The numbers 62234 and 199370 are in this sequence and also in A362420. - Zak Seidov and Robert Israel, Apr 10 2023

Links

Paolo Xausa, Table of n, a(n) for n = 1..10000

Formula

a(n) = Sum_{i=1..n} A100484(i).

a(n) = 2*A007504(n).

Maple

A362419 := proc(n)
    option remember ;
    if n = 0 then
            0 ;
    else
            procname(n-1)+A100484(n) ;
    end if;
end proc:
seq(A362419(n), n=1..40) ;

Mathematica

Accumulate[2*Prime[Range[50]]] (* Paolo Xausa, Mar 19 2024 *)

Crossrefs

Cf. A007504, A100484, A362420.

Sequence in context: A301154 A024991 A000742 * A301134 A132152 A008234

Adjacent sequences: A362416 A362417 A362418 * A362420 A362421 A362422

Keyword

nonn,easy

Author

R. J. Mathar, Apr 19 2023

Status

approved