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%I #11 Jan 16 2022 22:09:52
%S 1,3509,8054,10237,11911,24518,29644,38259,40054,93098,367053,408283,
%T 478061,518644,538691,912840,1008234,2086954,2544681,2653852,3897904,
%U 4308165,5595997,5719544,6656464,6797839,7137939,8417467,10504786,12774105,13949772,14394569
%N Numbers where the difference of consecutive fifth powers is "close" to another fifth power: let m = k^5 - (k-1)^5; sequence lists the numbers k where m - floor(m^(1/5))^5 < floor(sqrt(k))^5.
%e a(2)=3509 because m = 3509^5 - 3508^5 = 757627875663781 and the condition 'm - floor(m^(1/5))^5 < floor(sqrt(k))^5' simplifies to '757627875663781 - 946^5 < 59^5', which is true, and 3509 is the second number having this property.
%Y Cf. A053803.
%K nonn
%O 1,2
%A Joe K. Crump (joecr(AT)carolina.rr.com), Mar 27 2000
%E More terms from _Sean A. Irvine_, Jan 16 2022
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