A003350 Numbers that are the sum of 5 positive 5th powers.

5, 36, 67, 98, 129, 160, 247, 278, 309, 340, 371, 489, 520, 551, 582, 731, 762, 793, 973, 1004, 1028, 1059, 1090, 1121, 1152, 1215, 1270, 1301, 1332, 1363, 1512, 1543, 1574, 1754, 1785, 1996, 2051, 2082, 2113, 2144, 2293, 2324, 2355, 2535, 2566, 2777, 3074, 3105, 3129

Offset

1,1

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 03 2020: (Start)
122490 is in the sequence as 122490 = 3^5 + 4^5 + 5^5 + 9^5 + 9^5.
251124 is in the sequence as 251124 = 1^5 + 3^5 + 4^5 + 4^5 + 12^5.
349858 is in the sequence as 349858 = 1^5 + 1^5 + 4^5 + 10^5 + 12^5. (End)

Mathematica

f[upto_]:=Module[{max=Floor[Power[upto, (5)^-1]], tp}, tp=Union[ Total/@ (Tuples[ Range[max], {5}]^5)]; Select[tp, #<=upto&]]; f[2100]  (* Harvey P. Dale, Mar 22 2011 *)

Crossrefs

Cf. A000584, A003349, A003351, A003339, A342685, A344643

Column k=5 of A336725.

Sequence in context: A042029 A073456 A275223 * A344643 A217166 A275143

Adjacent sequences: A003347 A003348 A003349 * A003351 A003352 A003353

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved