A004822 Numbers that are the sum of 11 positive 11th powers.
11, 2058, 4105, 6152, 8199, 10246, 12293, 14340, 16387, 18434, 20481, 22528, 177157, 179204, 181251, 183298, 185345, 187392, 189439, 191486, 193533, 195580, 197627, 354303, 356350, 358397, 360444, 362491, 364538, 366585, 368632, 370679, 372726, 531449, 533496, 535543
Offset: 1
Examples
From _David A. Corneth_, Aug 01 2020: (Start) 460807606 is in the sequence as 460807606 = 1^11 + 1^11 + 1^11 + 1^11 + 1^11 + 1^11 + 3^11 + 3^11 + 5^11 + 5^11 + 6^11. 795925198 is in the sequence as 795925198 = 3^11 + 3^11 + 3^11 + 4^11 + 4^11 + 4^11 + 4^11 + 4^11 + 5^11 + 6^11 + 6^11. 1504395992 is in the sequence as 1504395992 = 2^11 + 2^11 + 2^11 + 2^11 + 3^11 + 4^11 + 5^11 + 6^11 + 6^11 + 6^11 + 6^11. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
Crossrefs
Cf. A008455.
A###### (x, y): Numbers that are the form of x nonzero y-th powers.
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).
Programs
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Mathematica
M = 6347807907; m = M^(1/11) // Ceiling; Reap[ For[a = 1, a <= m, a++, For[b = a, b <= m, b++, For[c = b, c <= m, c++, For[d = c, d <= m, d++, For[e = d, e <= m, e++, For[f = e, f <= m, f++, For[g = f, g <= m, g++, For[h = g, h <= m, h++, For[i = h, i <= m, i++, For[j = i, j <= m, j++, For[k = j, k <= m, k++, s = a^11+b^11+c^11+d^11+e^11+f^11+g^11+h^11+i^11+j^11+k^11; If[s <= M, Sow[s]]]]]]]]]]]]]][[2, 1]] // Union (* Jean-François Alcover, Dec 01 2020 *)
Comments