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A283118 a(n) = sigma(5*n). 12

%I #17 Dec 16 2022 09:04:19

%S 6,18,24,42,31,72,48,90,78,93,72,168,84,144,124,186,108,234,120,217,

%T 192,216,144,360,156,252,240,336,180,372,192,378,288,324,248,546,228,

%U 360,336,465,252,576,264,504,403,432,288,744,342,468,432,588,324,720

%N a(n) = sigma(5*n).

%H Seiichi Manyama, <a href="/A283118/b283118.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A000203(5*n).

%F Sum_{k=1..n} a(k) = (29*Pi^2/60) * n^2 + O(n*log(n)). - _Amiram Eldar_, Dec 16 2022

%t Table[DivisorSigma[1, 5 n], {n, 56}] (* _Michael De Vlieger_, Mar 01 2017 *)

%o (PARI) a(n) = sigma(5*n) \\ _Amiram Eldar_, Dec 16 2022

%Y Sigma(k*n): A000203 (k=1), A062731 (k=2), A144613 (k=3), A193553 (k=4), this sequence (k=5), A224613 (k=6), A283078 (k=7), A283122 (k=8), A283123 (k=9).

%Y Cf. A008587.

%K nonn

%O 1,1

%A _Seiichi Manyama_, Mar 01 2017

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Last modified August 25 17:34 EDT 2024. Contains 375442 sequences. (Running on oeis4.)