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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. 4
1, 2, 3, 4, 6, 8, 12, 16, 20, 24, 32, 40, 48, 64, 80, 96, 120, 144, 168, 200, 240, 288, 360, 432, 504, 600, 720, 864, 1008, 1152, 1344, 1600, 1920, 2304, 2688, 3072, 3584, 4096, 4800, 5760, 6720, 7680, 8640, 10080, 11520, 13824, 16128, 18432, 20736, 23040 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

g(x) <= n can be replaced by g(x) = n.

LINKS

Giovanni Resta, Table of n, a(n) for n = 0..250 (based on A002182 b-file)

EXAMPLE

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.

MATHEMATICA

Max /@ Table[DivisorSigma[0, Floor[2^(n - 1) + k]], {n, 0, 22}, {k, Ceiling[2^(n - 1)]}] (* Michael De Vlieger, May 10 2017 *)

CROSSREFS

Cf. A000005, A002182, A029837, A005179, A007416, A036470-A036472.

Sequence in context: A018718 A079647 A261205 * A297216 A241743 A321729

Adjacent sequences:  A036448 A036449 A036450 * A036452 A036453 A036454

KEYWORD

nonn

AUTHOR

Labos Elemer

EXTENSIONS

Terms 22..32 added by Alex Ratushnyak, Jun 06 2013

a(33)-a(49) from Giovanni Resta, Jun 06 2013

STATUS

approved

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Last modified April 21 20:59 EDT 2019. Contains 322328 sequences. (Running on oeis4.)