cp's OEIS Frontend

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.

A036451 Maximal value of d(x) (the number of divisors of x, A000005) if the binary order (see A029837) of x, the value g(x) = n.

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%I A036451 #16 Nov 02 2020 18:52:36
%S A036451 1,2,3,4,6,8,12,16,20,24,32,40,48,64,80,96,120,144,168,200,240,288,
%T A036451 360,432,504,600,720,864,1008,1152,1344,1600,1920,2304,2688,3072,3584,
%U A036451 4096,4800,5760,6720,7680,8640,10080,11520,13824,16128,18432,20736,23040
%N A036451 Maximal value of d(x) (the number of divisors of x, A000005) if the binary order (see A029837) of x, the value g(x) = n.
%C A036451 g(x) <= n can be replaced by g(x) = n.
%H A036451 Giovanni Resta, <a href="/A036451/b036451.txt">Table of n, a(n) for n = 0..250</a> (based on A002182 b-file)
%e A036451 In the range of g(x) <= 5, the values of d(x) can be: 1, 2, 3, 4, 5, 6, 8 of which 8 is the maximal, so a(n) = a(g(x)) = 8.
%t A036451 Max /@ Table[DivisorSigma[0, Floor[2^(n - 1) + k]], {n, 0, 22}, {k, Ceiling[2^(n - 1)]}] (* _Michael De Vlieger_, May 10 2017 *)
%Y A036451 Cf. A000005, A002182, A029837, A005179, A007416, A036470-A036472.
%K A036451 nonn
%O A036451 0,2
%A A036451 _Labos Elemer_
%E A036451 a(22)-a(32) from _Alex Ratushnyak_, Jun 06 2013
%E A036451 a(33)-a(49) from _Giovanni Resta_, Jun 06 2013