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A299169
Number of ordered ways of writing n^4 as a sum of n fourth powers of nonnegative integers.
3
1, 1, 2, 3, 4, 35, 12, 217, 8, 58473, 7930, 572891, 5556, 122985733, 5175184, 22299917655, 579379377, 743262257063, 56837361641571, 1395217574459461, 375984668290604635, 6891217627023943395, 1297848300143194333479, 26228516046396477884555, 3686440821146129098950735
OFFSET
0,3
LINKS
Eric Weisstein's World of Mathematics, Biquadratic Number
FORMULA
a(n) = [x^(n^4)] (Sum_{k>=0} x^(k^4))^n.
EXAMPLE
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].
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 04 2018
EXTENSIONS
More terms from Jinyuan Wang, Dec 21 2021
STATUS
approved