login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A236285 a(n) = tau(n)^sigma(n), where tau(n) = A000005(n) = the number of divisors of n and sigma(n) = A000203(n) = the sum of divisors of n. 5
1, 8, 16, 2187, 64, 16777216, 256, 1073741824, 1594323, 68719476736, 4096, 6140942214464815497216, 16384, 281474976710656, 281474976710656, 4656612873077392578125, 262144, 2227915756473955677973140996096, 1048576, 481229803398374426442198455156736 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Jaroslav Krizek, Table of n, a(n) for n = 1..100

FORMULA

a(n) = A000005(n)^A000203(n).

EXAMPLE

a(4) = tau(4)^sigma(4) = 3^7 = 2187.

MATHEMATICA

Table[DivisorSigma[0, n]^DivisorSigma[1, n], {n, 1000}]

PROG

(PARI) s=[]; for(n=1, 20, s=concat(s, sigma(n, 0)^sigma(n))); s \\ Colin Barker, Jan 22 2014

CROSSREFS

Cf. A000005 (tau(n)), A000203 (sigma(n)), A062758 (n^tau(n)), A217872 (sigma(n)^n), A236284 (tau(n)^n), A236286.

Sequence in context: A061747 A109585 A284438 * A247850 A024280 A115434

Adjacent sequences:  A236282 A236283 A236284 * A236286 A236287 A236288

KEYWORD

nonn

AUTHOR

Jaroslav Krizek, Jan 21 2014

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 17 13:33 EST 2019. Contains 329230 sequences. (Running on oeis4.)