cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A003344 Numbers that are the sum of 10 positive 4th powers.

This page as a plain text file.
%I A003344 #30 Feb 16 2025 08:32:27
%S A003344 10,25,40,55,70,85,90,100,105,115,120,130,135,145,150,160,165,170,180,
%T A003344 185,195,200,210,215,225,230,245,250,260,265,275,280,290,295,310,325,
%U A003344 330,340,345,355,360,370,375,385,390,400,405,410,420,425,435,440,450,455,465
%N A003344 Numbers that are the sum of 10 positive 4th powers.
%H A003344 David A. Corneth, <a href="/A003344/b003344.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)
%H A003344 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number.</a>
%e A003344 From _David A. Corneth_, Aug 03 2020: (Start)
%e A003344 5176 is in the sequence as 5176 = 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 5^4 + 5^4 + 5^4 + 5^4 + 7^4.
%e A003344 6901 is in the sequence as 6901 = 1^4 + 4^4 + 4^4 + 5^4 + 5^4 + 5^4 + 5^4 + 6^4 + 6^4 + 6^4.
%e A003344 8502 is in the sequence as 8502 = 1^4 + 3^4 + 4^4 + 5^4 + 5^4 + 5^4 + 6^4 + 6^4 + 6^4 + 7^4. (End)
%o A003344 (Python)
%o A003344 from itertools import count, takewhile, combinations_with_replacement as mc
%o A003344 def aupto(limit):
%o A003344     pows4 = list(takewhile(lambda x: x <= limit, (i**4 for i in count(1))))
%o A003344     sum10 = set(sum(c) for c in mc(pows4, 10) if sum(c) <= limit)
%o A003344     return sorted(sum10)
%o A003344 print(aupto(465)) # _Michael S. Branicky_, Oct 25 2021
%Y A003344 Cf. A000583, A003333, A003343, A003355, A047721, A345595, A345853.
%K A003344 nonn,easy
%O A003344 1,1
%A A003344 _N. J. A. Sloane_