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 A002944 a(n) = lcm(1,2,...,n) / n. (Formerly M0912 N0344) 27
 1, 1, 2, 3, 12, 10, 60, 105, 280, 252, 2520, 2310, 27720, 25740, 24024, 45045, 720720, 680680, 12252240, 11639628, 11085360, 10581480, 232792560, 223092870, 1070845776, 1029659400, 2974571600, 2868336900, 80313433200, 77636318760, 2329089562800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Conjecture: LCM of all numbers of n-th row of Pascal's triangle. - J. Lowell, Apr 16 2014 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..500 Bakir Farhi, An identity involving the least common multiple of binomial coefficients and its application, arXiv:0906.2295. Bakir Farhi, An identity involving the least common multiple of binomial coefficients and its application, Amer. Math. Monthly, 116 (2009), 836-839. Peter L. Montgomery, LCM of Binomial Coefficients, Problem E2686, American Mathematical Monthly, Vol. 84 (1977), p. 820. Peter L. Montgomery, LCM of Binomial Coefficients, Solution to Problem E2686, American Mathematical Monthly, Vol. 86 (1979), p. 131. FORMULA a(n) = A003418(n) / n. Equals LCM of C(n-1, 0), C(n-1, 1), ..., C(n-1, n-1). [Montgomery] [Corrected by N. J. A. Sloane, Jun 11 2008] a(n+1) = lcm_{k=0..n} binomial(n,k). - Franklin T. Adams-Watters, Jul 05 2009 MAPLE A003418 := n-> lcm(seq(i, i=1..n)); f:=n->A003418(n)/n; BB:=n->sum(1/sqrt(k), k=1..n): a:=n->floor(denom(BB(n))/n): seq(a(n), n=1..29); # Zerinvary Lajos, Mar 29 2007 MATHEMATICA Table[Apply[LCM, Range[n]]/n, {n, 1, 30}]  (* Geoffrey Critzer, Feb 10 2013 *) PROG (PARI) a(n) = lcm(vector(n, i, i))/n; \\ Michel Marcus, Apr 16 2014 (Haskell) a002944 n = a003418 n `div` n  -- Reinhard Zumkeller, Mar 16 2015 CROSSREFS Cf. A025527. Cf. A100561, A003418, A001142, A001405. - Franklin T. Adams-Watters, Jul 05 2009 Cf. A056606 (squarefree kernel). Sequence in context: A212303 A100561 A081529 * A266366 A201501 A302843 Adjacent sequences:  A002941 A002942 A002943 * A002945 A002946 A002947 KEYWORD nonn,easy AUTHOR EXTENSIONS More terms from Jud McCranie, Jan 17 2000 Edited by N. J. A. Sloane, Jun 11 2008 STATUS approved

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Last modified May 21 15:32 EDT 2019. Contains 323444 sequences. (Running on oeis4.)