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Numbers that are the sum of 6 positive 7th powers.
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%I #14 Aug 01 2020 23:47:57

%S 6,133,260,387,514,641,768,2192,2319,2446,2573,2700,2827,4378,4505,

%T 4632,4759,4886,6564,6691,6818,6945,8750,8877,9004,10936,11063,13122,

%U 16389,16516,16643,16770,16897,17024,18575,18702,18829,18956,19083,20761,20888

%N Numbers that are the sum of 6 positive 7th powers.

%C As the order of addition doesn't matter we can assume terms are in nondecreasing order. - _David A. Corneth_, Aug 01 2020

%H David A. Corneth, <a href="/A003373/b003373.txt">Table of n, a(n) for n = 1..10000</a>

%e From _David A. Corneth_, Aug 01 2020: (Start)

%e 3077074 is in the sequence as 3077074 = 1^7 + 2^7 + 5^7 + 5^7 + 7^7 + 8^7.

%e 7160441 is in the sequence as 7160441 = 2^7 + 2^7 + 2^7 + 6^7 + 8^7 + 9^7.

%e 12921079 is in the sequence as 12921079 = 2^7 + 2^7 + 2^7 + 7^7 + 8^7 + 10^7. (End)

%Y A###### (x, y): Numbers that are the form of x nonzero y-th powers.

%Y Cf. A000404 (2, 2), A000408 (3, 2), A000414 (4, 2), A003072 (3, 3), A003325 (3, 2), A003327 (4, 3), A003328 (5, 3), A003329 (6, 3), A003330 (7, 3), A003331 (8, 3), A003332 (9, 3), A003333 (10, 3), A003334 (11, 3), A003335 (12, 3), A003336 (2, 4), A003337 (3, 4), A003338 (4, 4), A003339 (5, 4), A003340 (6, 4), A003341 (7, 4), A003342 (8, 4), A003343 (9, 4), A003344 (10, 4), A003345 (11, 4), A003346 (12, 4), A003347 (2, 5), A003348 (3, 5), A003349 (4, 5), A003350 (5, 5), A003351 (6, 5), A003352 (7, 5), A003353 (8, 5), A003354 (9, 5), A003355 (10, 5), A003356 (11, 5), A003357 (12, 5), A003358 (2, 6), A003359 (3, 6), A003360 (4, 6), A003361 (5, 6), A003362 (6, 6), A003363 (7, 6), A003364 (8, 6), A003365 (9, 6), A003366 (10, 6), A003367 (11, 6), A003368 (12, 6), A003369 (2, 7), A003370 (3, 7), A003371 (4, 7), A003372 (5, 7), A003373 (6, 7), A003374 (7, 7), A003375 (8, 7), A003376 (9, 7), A003377 (10, 7), A003378 (11, 7), A003379 (12, 7), A003380 (2, 8), A003381 (3, 8), A003382 (4, 8), A003383 (5, 8), A003384 (6, 8), A003385 (7, 8), A003387 (9, 8), A003388 (10, 8), A003389 (11, 8), A003390 (12, 8), A003391 (2, 9), A003392 (3, 9), A003393 (4, 9), A003394 (5, 9), A003395 (6, 9), A003396 (7, 9), A003397 (8, 9), A003398 (9, 9), A003399 (10, 9), A004800 (11, 9), A004801 (12, 9), A004802 (2, 10), A004803 (3, 10), A004804 (4, 10), A004805 (5, 10), A004806 (6, 10), A004807 (7, 10), A004808 (8, 10), A004809 (9, 10), A004810 (10, 10), A004811 (11, 10), A004812 (12, 10), A004813 (2, 11), A004814 (3, 11), A004815 (4, 11), A004816 (5, 11), A004817 (6, 11), A004818 (7, 11), A004819 (8, 11), A004820 (9, 11), A004821 (10, 11), A004822 (11, 11), A004823 (12, 11), A047700 (5, 2).

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E Removed incorrect program. - _David A. Corneth_, Aug 01 2020