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A113930 Numbers k such that sigma(k) and phi(k) are both triangular numbers. 1

%I #12 Jul 22 2021 01:57:16

%S 1,2,22,3051,3219,3393,5057,8653,75618,95675,100503,102949,104714,

%T 287826,438547,522339,537159,688050,2191200,2317118,2418548,2507683,

%U 2599128,3212964,4534573,5367797,6047913,6302639,7689149,13758296,14380145,15342050,16148979

%N Numbers k such that sigma(k) and phi(k) are both triangular numbers.

%C phi(k) = A000010(k) is the Euler totient function, while sigma(k) = A000203(k) is the sum of divisors of k.

%H Donovan Johnson, <a href="/A113930/b113930.txt">Table of n, a(n) for n = 1..207</a> (terms < 10^12)

%e sigma(100503) = 156520 = T(559) and phi(100503) = 61776 = T(351).

%o (PARI) isok(n) = ispolygonal(sigma(n), 3) && ispolygonal(eulerphi(n), 3); \\ _Michel Marcus_, Jan 26 2014

%Y Cf. A000010, A000203, A000217.

%Y Subsequence of A045746.

%K nonn

%O 1,2

%A _Giovanni Resta_, Jan 30 2006

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Last modified April 25 06:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)