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 A002016 Number of first n tetrahedral numbers (A000292) that are relatively prime to n. (Formerly M2212 N0878) 1
 1, 1, 3, 1, 2, 2, 4, 2, 6, 1, 8, 2, 10, 2, 5, 4, 14, 3, 16, 2, 7, 4, 20, 4, 10, 5, 18, 4, 26, 2, 28, 8, 16, 7, 8, 6, 34, 8, 20, 4, 38, 3, 40, 8, 12, 10, 44, 8, 28, 5, 30, 10, 50, 9, 16, 8, 33, 13, 56, 5, 58, 14, 24, 16, 20, 8, 64, 14, 41, 4, 68, 12, 70, 17, 19 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 C. C. Yen (Proposer), E. P. Starke (Solver), Problem 272, Amer. Math. Monthly, 41 (1934), 582-587. C. C. Yen (Proposer), E. P. Starke (Solver), Problem 272, Amer. Math. Monthly, 41 (1934), 582-587. [Annotated scanned copy] FORMULA a(n) = number of b(1), ..., b(n) that are relatively prime to n, where b() = A000292(). EXAMPLE All 3 of 1, 4, 10 are prime to 3, so a(3) = 3. MATHEMATICA f[n_] := Length@ Select[ Accumulate@ Rest@ FoldList[Plus, 0, Range@ n], GCD[#, n] == 1 &]; Array[f, 83] (* Gabriel Cunningham, Oct 24 2004 *) PROG (PARI) a(n) = sum(k=1, n, gcd(k*(k+1)*(k+2)/6, n) == 1); \\ Michel Marcus, Jun 06 2019 CROSSREFS Cf. A000292. Sequence in context: A318556 A292148 A125266 * A282016 A238848 A117494 Adjacent sequences:  A002013 A002014 A002015 * A002017 A002018 A002019 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Gabriel Cunningham (gcasey(AT)mit.edu), Oct 24 2004 STATUS approved

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Last modified January 28 22:40 EST 2020. Contains 331328 sequences. (Running on oeis4.)