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%I #10 Feb 23 2022 02:33:51
%S 31328,173888,893024,1734488,1896128,4322240,5405624,8485568,8982008,
%T 9345248,21874328,38750624,78588224,137663288,139074848,189035000,
%U 198387224,270174968,281333528,290873024,315950624,326271968,340513208,357096608,499656608,584527328,693637568
%N Numbers k such that k and k+1 are both divisible by the number of their divisors over the Gaussian integers.
%C Numbers k such that A062327(k) | k and A062327(k+1) | k+1.
%C All the terms are even numbers of the form k^2 - 1 (A033996).
%H Amiram Eldar, <a href="/A351852/b351852.txt">Table of n, a(n) for n = 1..10000</a>
%e 31328 is a term since 31328 is divisible by A062327(31328) = 88 and 31329 is divisible by A062327(31329) = 9.
%t q[n_] := Divisible[n, DivisorSigma[0, n, GaussianIntegers -> True]]; Select[Range[1, 3*10^4, 2]^2 - 1, q[#] && q[# + 1] &]
%Y Subsequence of A033996 and A351851.
%Y Cf. A062327, A114617, A351854.
%K nonn
%O 1,1
%A _Amiram Eldar_, Feb 22 2022
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