

A003344


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


38



10, 25, 40, 55, 70, 85, 90, 100, 105, 115, 120, 130, 135, 145, 150, 160, 165, 170, 180, 185, 195, 200, 210, 215, 225, 230, 245, 250, 260, 265, 275, 280, 290, 295, 310, 325, 330, 340, 345, 355, 360, 370, 375, 385, 390, 400, 405, 410, 420, 425, 435, 440, 450, 455, 465
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OFFSET

1,1


LINKS



EXAMPLE

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.
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.
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)


PROG

(Python)
from itertools import count, takewhile, combinations_with_replacement as mc
def aupto(limit):
pows4 = list(takewhile(lambda x: x <= limit, (i**4 for i in count(1))))
sum10 = set(sum(c) for c in mc(pows4, 10) if sum(c) <= limit)
return sorted(sum10)


CROSSREFS



KEYWORD

nonn,easy


AUTHOR



STATUS

approved



