The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A299169 Number of ordered ways of writing n^4 as a sum of n fourth powers of nonnegative integers. 3

%I #8 Dec 22 2021 07:04:42

%S 1,1,2,3,4,35,12,217,8,58473,7930,572891,5556,122985733,5175184,

%T 22299917655,579379377,743262257063,56837361641571,1395217574459461,

%U 375984668290604635,6891217627023943395,1297848300143194333479,26228516046396477884555,3686440821146129098950735

%N Number of ordered ways of writing n^4 as a sum of n fourth powers of nonnegative integers.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number</a>

%F a(n) = [x^(n^4)] (Sum_{k>=0} x^(k^4))^n.

%e a(6) = 12 because we have [1296, 0, 0, 0, 0, 0], [256, 256, 256, 256, 256, 16], [256, 256, 256, 256, 16, 256], [256, 256, 256, 16, 256, 256], [256, 256, 16, 256, 256, 256], [256, 16, 256, 256, 256, 256], [16, 256, 256, 256, 256, 256], [0, 1296, 0, 0, 0, 0], [0, 0, 1296, 0, 0, 0], [0, 0, 0, 1296, 0, 0], [0, 0, 0, 0, 1296, 0] and [0, 0, 0, 0, 0, 1296].

%Y Cf. A000583, A046042, A259793, A298329, A298671, A298859, A298989.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Feb 04 2018

%E More terms from _Jinyuan Wang_, Dec 21 2021

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 23 02:40 EDT 2024. Contains 372758 sequences. (Running on oeis4.)