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 A333176 a(n) = Sum_{k=1..n} (binomial(n,k) mod 2) * prime(k). 1
 2, 3, 10, 7, 20, 23, 58, 19, 44, 51, 112, 63, 140, 151, 328, 53, 114, 117, 250, 131, 276, 287, 604, 161, 342, 355, 742, 383, 798, 825, 1720, 131, 270, 273, 566, 289, 596, 607, 1252, 323, 664, 675, 1392, 711, 1458, 1481, 3046, 407, 832, 839, 1718, 875, 1782 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA Sum_{k=1..n} (-1)^A010060(n-k) * (binomial(n,k) mod 2) * a(k) = prime(n). MATHEMATICA Table[Sum[Mod[Binomial[n, k], 2] Prime[k], {k, 1, n}], {n, 1, 53}] PROG (PARI) a(n) = sum(k=1, n, if (binomial(n, k) % 2, prime(k))); \\ Michel Marcus, Mar 10 2020 CROSSREFS Cf. A000040, A007443, A007504, A010060, A030015, A050513. Sequence in context: A336091 A128531 A123167 * A338043 A141670 A278561 Adjacent sequences:  A333173 A333174 A333175 * A333177 A333178 A333179 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Mar 10 2020 STATUS approved

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Last modified September 17 14:07 EDT 2021. Contains 347478 sequences. (Running on oeis4.)