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 A048195 #17 Oct 05 2024 09:07:17 %S A048195 10,25,26,27,28,29,30,34,36,37,38,40,45,46,47,48,49,50,51,52,53,54,58, %T A048195 60,61,62,63,64,66,68,69,70,75,76,77,78,80,81,82,83,84,85,86,87,88,89, %U A048195 90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,108,109,110 %N A048195 Numbers k for which binomial(k, floor(k/2)) has fewer unitary than non-unitary divisors. %C A048195 A048111 applied to central binomial coefficients. %H A048195 Amiram Eldar, <a href="/A048195/b048195.txt">Table of n, a(n) for n = 1..10000</a> %F A048195 A034444(A001405(k)) < A048105(A001405(k)). %e A048195 k = 58: binomial(58,29) has 20480 divisors, 8192 unitary ones and 12288 non-unitary ones, and 8192 < 12288. %t A048195 q[n_] := Module[{e = FactorInteger[Binomial[n, Floor[n/2]]][[;; , 2]]}, Times @@ (e + 1) > 2^(Length[e] + 1)]; Select[Range[120], q] (* _Amiram Eldar_, Oct 05 2024 *) %o A048195 (PARI) nbud(n) = 1<<omega(n); \\ from A034444 %o A048195 isok(n) = my(b=binomial(n, n\2)); numdiv(b) > 2*nbud(b); \\ _Michel Marcus_, Mar 15 2018 %Y A048195 Cf. A001405, A034444, A048105, A048111. %K A048195 nonn %O A048195 1,1 %A A048195 _Labos Elemer_ %E A048195 More terms from _Michel Marcus_, Mar 15 2018