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

1,1

Comments

As the order of addition doesn't matter we can assume terms are in nondecreasing order. - David A. Corneth, Aug 01 2020

Links

David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)

Example

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)

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 *)

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).

Sequence in context: A180587 A060885 A020519 * A265876 A078271 A272617

Adjacent sequences: A004819 A004820 A004821 * A004823 A004824 A004825

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved