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%I #15 Jul 31 2024 09:09:03
%S 1,4,8,12,18,24,32,40,49,59,71,83,97,111,126,142,160,178,198,218,239,
%T 261,285,309,334,360,387,415,445,475,507,539,572,606,641,677,715,753,
%U 792,832,874,916,960,1004,1049,1095,1143,1191,1240,1290,1341,1393,1447
%N a(n) = n*(n + 1)/2 + pi(n), where pi(n) = A000720(n) is the prime counting function.
%H James C. McMahon, <a href="/A374426/b374426.txt">Table of n, a(n) for n = 1..10000</a>
%F a(n) = A000217(n) + A000720(n).
%F a(1) = 1; for n > 1: a(n) = a(n-1) + n + A010051(n).
%t Table[n(n+1)/2+PrimePi[n],{n,53}]
%o (PARI) a(n) = n*(n+1)/2 + primepi(n); \\ _Michel Marcus_, Jul 31 2024
%Y Cf. A000217, A000720, A010051, A256885.
%Y Partial sums of A014683.
%K nonn
%O 1,2
%A _James C. McMahon_, Jul 08 2024
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