A355726 a(n) = a(n-2) + prime(n-1) for a(0) = a(1) = 0.

0, 0, 2, 3, 7, 10, 18, 23, 35, 42, 58, 71, 89, 108, 130, 151, 177, 204, 236, 265, 303, 336, 376, 415, 459, 504, 556, 605, 659, 712, 768, 825, 895, 956, 1032, 1095, 1181, 1246, 1338, 1409, 1505, 1582, 1684, 1763, 1875, 1956, 2072, 2155, 2283, 2378, 2510

Offset: 0

Author

Paul Curtz, Jul 15 2022

Keywords

• nonn

Links

• Paolo Xausa, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A077131 (even bisection), A077126 (odd bisection).

Cf. A008347 (first differences), (-1)^n*A330547 (second differences).

Programs

Mathematica

Join[{0},Accumulate[FoldList[#2-#1&,0,Prime[Range[100]]]]] (* Paolo Xausa, Dec 04 2023 *)

Formula

a(2*n) = A077131(n), for n>=1.

a(2*n+1) = A077126(n), for n>=1.