This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A056766 #15 Aug 16 2024 08:37:52 %S A056766 2,3,5,9,18,33,66,130,258,516,1026,2052,4100,8200,16400,32800,65550, %T A056766 131100,262200,524400,1048800,2097600,4195200,8390400,16783200, %U A056766 33566400,67132800,134265600,268606800,537213600,1074427200,2148854400,4297708800,8627018400,18897278400 %N A056766 Smallest term of A056757 (numbers for which the cube of the number of divisors exceeds the number) between 2^(n-1) and 2^n. %C A056766 Smallest k so that 2^(n-1) < k <= 2^n and A000005(k)^3 > k. %e A056766 For n=7, 64 < a(7) = 66 < 128, A000005(66)^3 = 8^3 = 512 > 66, and no other such number occurs between 64 and 66. %e A056766 For n=31, a(31) = 1074427200, 2^30 < a(31) < 2^31; a(31) has 1344 divisors and 1344^3 = 2427715584 > 1074427200. Between 2^30 and a(31) no other numbers occur with this property. %Y A056766 Cf. A000005, A035033, A035034, A035035, A034884, A029837, A056757-A056767. %K A056766 nonn,fini,full %O A056766 1,1 %A A056766 _Labos Elemer_, Aug 16 2000 %E A056766 a(33)-a(35) from _Amiram Eldar_, Aug 15 2024