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%I #28 Sep 08 2023 07:33:17
%S 0,7,14,21,28,35,42,7,56,63,70,77,84,91,14,105,112,119,126,133,140,21,
%T 154,161,168,175,182,189,28,203,210,217,224,231,238,35,252,259,266,
%U 273,280,287,42,301,308,315,322,329,336,49,350,357,364,371,378,385,56
%N a(n) = lcm(n, 7).
%H Amiram Eldar, <a href="/A109048/b109048.txt">Table of n, a(n) for n = 0..10000</a>
%H <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,2,0,0,0,0,0,0,-1).
%H <a href="/index/Lc#lcm">Index entries for sequences related to lcm's</a>.
%F a(n) = n*7/gcd(n, 7).
%F a(n) = 7*A106608(n) = 7*n/A109010(n). - _R. J. Mathar_, Apr 18 2011
%F Sum_{k=1..n} a(k) ~ (43/14) * n^2. - _Amiram Eldar_, Nov 26 2022
%F Sum_{n>=1} (-1)^(n+1)/a(n) = 13*log(2)/49. - _Amiram Eldar_, Sep 08 2023
%t LCM[Range[0, 100], 7] (* _Wesley Ivan Hurt_, Nov 17 2022 *)
%o (Sage) [lcm(n,7)for n in range(0, 57)] # _Zerinvary Lajos_, Jun 09 2009
%o (Magma) [Lcm(n,7): n in [0..100]]; // _Vincenzo Librandi_, Apr 18 2011
%Y Cf. A106608, A109010, A109042.
%K nonn,easy
%O 0,2
%A _Mitch Harris_, Jun 18 2005
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