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A236856 Partial sums of A003418 starting summing from A003418(1), with a(0) = 0. 5

%I #11 Sep 19 2022 06:24:21

%S 0,1,3,9,21,81,141,561,1401,3921,6441,34161,61881,422241,782601,

%T 1142961,1863681,14115921,26368161,259160721,491953281,724745841,

%U 957538401,6311767281,11665996161,38437140561,65208284961,145521718161,225835151361,2554924714161

%N Partial sums of A003418 starting summing from A003418(1), with a(0) = 0.

%C Similar comments about the trailing digits apply here as in A173185.

%C a(n) gives the position of the last element of row n in irregular tables like A238280.

%C From a(2)=3 onward all terms are divisible by three.

%C a(n) is divisible by 73 for n >= 72. Therefore a(n)/3 is prime for only 13 values of n: 3, 4, 6, 8, 9, 12, 16, 22, 23, 31, 35, 48 and 53. - _Amiram Eldar_, Sep 19 2022

%H Antti Karttunen, <a href="/A236856/b236856.txt">Table of n, a(n) for n = 0..250</a>

%F a(n) = A173185(n)-1.

%t Prepend[Accumulate @ Table[LCM @@ Range[n], {n, 1, 30}], 0] (* _Amiram Eldar_, Sep 19 2022 *)

%o (Scheme) (define (A236856 n) (if (< n 2) n (+ (A236856 (- n 1)) (A003418 n))))

%Y One less than A173185.

%Y Cf. A003418, A007489, A231722, A236857, A236858.

%K nonn

%O 0,3

%A _Antti Karttunen_, Feb 27 2014

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Last modified July 28 06:05 EDT 2024. Contains 374676 sequences. (Running on oeis4.)