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 A288656 a(n) = Sum_{k=1..n} Sum_{i=floor((k-1)/2)..k-1)} i * A010051(i). 1
 0, 0, 0, 2, 7, 12, 22, 30, 45, 57, 69, 81, 104, 122, 153, 184, 215, 239, 280, 321, 381, 441, 501, 561, 644, 716, 788, 860, 932, 991, 1079, 1167, 1286, 1405, 1524, 1643, 1762, 1864, 2003, 2142, 2281, 2401, 2562, 2723, 2927, 3131, 3335, 3539, 3790, 4018, 4246, 4474, 4702, 4930, 5211, 5492, 5773, 6054, 6335, 6616, 6956, 7267, 7639 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Sum of all the primes appearing in columns less than or equal to n from the example in A258087. LINKS MAPLE with(numtheory): A288656:=n->add(add(i*(pi(i)-pi(i-1)), i=floor((k-1)/2)..k-1), k=1..n): seq(A288656(n), n=0..100); MATHEMATICA Table[Sum[Sum[i (PrimePi[i] - PrimePi[i - 1]), {i, Floor[(k - 1)/2], k - 1}], {k, n}], {n, 0, 62}] (* Michael De Vlieger, Jun 15 2017 *) CROSSREFS Cf. A010051, A258087. Partial Sums of A288726. Sequence in context: A119713 A213041 A135541 * A180804 A122264 A079824 Adjacent sequences:  A288653 A288654 A288655 * A288657 A288658 A288659 KEYWORD nonn,easy AUTHOR Wesley Ivan Hurt, Jun 12 2017 STATUS approved

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