A115298 - OEIS

A115298

Row sums of A115297.

1, 3, 7, 13, 21, 31, 43, 55, 73, 91, 115, 139, 165, 193, 227, 263, 301, 339, 381, 423, 471, 517, 569, 625, 685, 745, 809, 871, 937, 1011, 1089, 1167, 1247, 1335, 1425, 1515, 1611, 1707, 1809, 1915, 2023, 2135, 2249, 2363, 2479, 2601, 2735, 2865, 2997, 3129

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OFFSET

1,2

LINKS

Muniru A Asiru, Table of n, a(n) for n = 1..3000

FORMULA

a(n) = Sum_{k=2..n+1} (A000040(k) - A000040(ceiling(k/2))). - Jon Maiga, Jan 04 2019

MAPLE

a:=n->add(ithprime(k)-ithprime(ceil(k/2)), k=2..n+1): seq(a(n), n=1..60); # Muniru A Asiru, Jan 04 2019

MATHEMATICA

Accumulate[Table[Prime[n] - Prime[Ceiling[n/2]], {n, 2, 51}]] (* Jon Maiga, Jan 04 2019 *)

CROSSREFS