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 A335334 Sum of the integers in the reduced residue system of A002110(n). 2
 1, 6, 120, 5040, 554400, 86486400, 23524300800, 8045310873600, 4070927302041600, 3305592969257779200, 3074201461409734656000, 4094836346597766561792000, 6715531608420337161338880000, 12128250084807128913378017280000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Sum of the integers up to A002110(n) and coprime to A002110(n). The sequence gives the sum of row n of A286941(n). LINKS Michael De Vlieger, Table of n, a(n) for n = 1..196 Eric Weisstein's World of Mathematics, Totative. FORMULA a(n) = A023896(A002110(n)). a(n) = A002110(n)*A005867(n)/2 = A070826(n)*A005867(n). a(n) = (A002110(n)*A038110(n+1)/2)*A058250(n). EXAMPLE For n = 3: A002110(3) = 30, the reduced residue system of 30 is {1, 7, 11, 13, 17, 19, 23, 29}. The sum is a(3) = 120. MATHEMATICA n = 15; A002110 = Drop[FoldList[Times, 1, Prime[Range[n]]], 1]; A005867 = Drop[EulerPhi@FoldList[Times, 1, Prime@Range@n], 1]; (* Second program: *) Map[# EulerPhi[#]/2 &, FoldList[Times, Prime@ Range@ 14]] (* Michael De Vlieger, Apr 07 2021 *) PROG (PARI) a(n) = my(P=factorback(primes(n))); P*eulerphi(P)/2; \\ Michel Marcus, Jun 02 2020 CROSSREFS Cf. A023896, A002110, A005867, A070826, A038110, A058250, A286941. Sequence in context: A096720 A009445 A094273 * A094278 A093910 A002370 Adjacent sequences:  A335331 A335332 A335333 * A335335 A335336 A335337 KEYWORD nonn AUTHOR Jamie Morken, Jun 02 2020 STATUS approved

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Last modified January 18 10:47 EST 2022. Contains 350454 sequences. (Running on oeis4.)