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A067577 a(n) = Product_{i=1..n} sigma(i) * Sum_{i=1..n} 1/sigma(i). 1

%I #20 Jul 16 2022 11:55:09

%S 1,4,19,145,954,11952,101664,1573344,21179232,390661056,4857760512,

%T 138055228416,1989835352064,48554918608896,1184490930438144,

%U 37179368055373824,683493250562260992,26913000032107757568,548273767789158727680,23227773590084738088960,751700319286194622955520

%N a(n) = Product_{i=1..n} sigma(i) * Sum_{i=1..n} 1/sigma(i).

%H Michael De Vlieger, <a href="/A067577/b067577.txt">Table of n, a(n) for n = 1..419</a>

%t Array[Product[DivisorSigma[1, i], {i, #}]*Sum[1/DivisorSigma[1, j], {j, #}] &, 21] (* _Michael De Vlieger_, Jul 16 2022 *)

%o (PARI) a(n) = prod(i=1, n, sigma(i)) * sum(i=1, n, 1/sigma(i)); \\ _Michel Marcus_, Jan 09 2021

%Y Cf. A000203 (sigma), A066780, A212717, A212718.

%K nonn

%O 1,2

%A _Benoit Cloitre_, Jan 30 2002

%E More terms from _Michel Marcus_, Jan 09 2021

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Last modified April 24 04:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)