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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A281959 a(n) = sigma_25(n), the sum of the 25th powers of the divisors of n. 3
1, 33554433, 847288609444, 1125899940397057, 298023223876953126, 28430288877251865252, 1341068619663964900808, 37778932988857102106625, 717897987692699877379693, 10000000298023223910507558, 108347059433883722041830252, 953962194872104906760006308 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Index entries for sequences related to sigma(n)

FORMULA

G.f.: Sum_{k>=1} k^25*x^k/(1-x^k).

a(n) == A037947(n) mod 657931.

a(n) = Sum_{k=1, A000005(n)} A275055(k)^25. - Felix Fröhlich, Feb 03 2017

EXAMPLE

For n = 6: The divisors of 6 are 1, 2, 3, 6, so a(6) = sigma_25(6) = 1^25 + 2^25 + 3^25 + 6^25 = 28430288877251865252. - Felix Fröhlich, Feb 03 2017

PROG

(PARI) a(n) = sigma(n, 25) \\ Felix Fröhlich, Feb 03 2017

CROSSREFS

Cf. A037947.

Sequence in context: A059277 A010813 A323661 * A194553 A246108 A184984

Adjacent sequences:  A281956 A281957 A281958 * A281960 A281961 A281962

KEYWORD

nonn,mult,easy

AUTHOR

Seiichi Manyama, Feb 03 2017

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 March 25 01:17 EDT 2019. Contains 321450 sequences. (Running on oeis4.)