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%I #22 Feb 16 2024 00:59:00
%S 46,430,1817,58254,209991,1752299,3124318,4099215,5374184665,
%T 6459560882,16466394154,20565608894,25666082990,117477414815,
%U 125854178626,1004569189366,1188580642033,15826129757609,18803675974841,20256129307923,39028039587479
%N Sequence arising in a search for three consecutive powerful numbers.
%C Here powerful numbers are those for which every prime factor appears to a power at least 2.
%H Andreas Reinhart, <a href="https://arxiv.org/abs/2305.09267">On orders in quadratic number fields whose set of distances is peculiar</a>, arXiv:2305.09267 [math.NT], 2023.
%H Andreas Reinhart, <a href="https://arxiv.org/abs/2402.09827">A counterexample to the Pellian equation conjecture of Mordell</a>, arXiv:2402.09827 [math.NT], 2024.
%H S. V. Sidorov and P. A. Shcherbakov, <a href="https://doi.org/10.1007/978-3-031-52470-7_3">On the Period Length Modulo D of Sequences of Numerators and Denominators of Convergents for the Square Root of a Non-square D</a>, Int'l Conf. Math. Modeling, Math. Modeling Supercomp. Tech. (MMST 2023) 28-43.
%H A. J. Stephens and H. C. Williams, <a href="https://doi.org/10.1090/S0025-5718-1988-0929558-3">Some computational results on a problem concerning powerful numbers</a>, Math. Comp. 50 (1988), 619-632.
%K nonn,more
%O 1,1
%A _N. J. A. Sloane_, Mar 05 2008
%E a(9)-a(17) from Andreas Reinhart, communicated by _Hugo Pfoertner_, May 24 2023
%E a(18)-a(21) from Andreas Reinhart, added by _Michel Marcus_, Feb 15 2024
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