login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A321820 a(n) = Sum_{d|n, n/d odd} d^12 for n > 0. 3
1, 4096, 531442, 16777216, 244140626, 2176786432, 13841287202, 68719476736, 282430067923, 1000000004096, 3138428376722, 8916117225472, 23298085122482, 56693912379392, 129746582562692, 281474976710656, 582622237229762, 1156833558212608 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

J. W. L. Glaisher, On the representations of a number as the sum of two, four, six, eight, ten, and twelve squares, Quart. J. Math. 38 (1907), 1-62 (see p. 4 and p. 8).

Index entries for sequences mentioned by Glaisher

FORMULA

G.f.: Sum_{k>=1} k^12*x^k/(1 - x^(2*k)). - Ilya Gutkovskiy, Dec 22 2018

PROG

(PARI) apply( A321820(n)=sumdiv(n, d, if(bittest(n\d, 0), d^12)), [1..30]) \\ M. F. Hasler, Nov 26 2018

CROSSREFS

Cf. A321543 - A321565, A321807 - A321836 for related sequences.

Sequence in context: A017688 A008456 A030631 * A236218 A016962 A224395

Adjacent sequences:  A321817 A321818 A321819 * A321821 A321822 A321823

KEYWORD

nonn,mult

AUTHOR

N. J. A. Sloane, Nov 24 2018

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 October 27 15:27 EDT 2020. Contains 338035 sequences. (Running on oeis4.)