A003345 Numbers that are the sum of 11 positive 4th powers.

11, 26, 41, 56, 71, 86, 91, 101, 106, 116, 121, 131, 136, 146, 151, 161, 166, 171, 176, 181, 186, 196, 201, 211, 216, 226, 231, 241, 246, 251, 261, 266, 276, 281, 291, 296, 306, 311, 326, 331, 341, 346, 356, 361, 371, 376, 386, 391, 401, 406, 411, 416, 421, 426, 436

Offset

1,1

Links

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

Eric Weisstein's World of Mathematics, Biquadratic Number.

Example

From David A. Corneth, Aug 03 2020: (Start)
4422 is in the sequence as 4422 = 1^4 + 2^4 + 2^4 + 3^4 + 4^4 + 4^4 + 5^4 + 5^4 + 5^4 + 5^4 + 6^4.
6611 is in the sequence as 6611 = 1^4 + 3^4 + 4^4 + 4^4 + 4^4 + 4^4 + 4^4 + 4^4 + 6^4 + 6^4 + 7^4.
7286 is in the sequence as 7286 = 2^4 + 2^4 + 2^4 + 2^4 + 3^4 + 3^4 + 3^4 + 3^4 + 3^4 + 4^4 + 9^4. (End)

Mathematica

With[{nn=5}, Select[Union[Total/@Tuples[Range[nn]^4, 11]], #<=nn^4-10&]] (* Harvey P. Dale, Jul 20 2022 *)

Crossrefs

Cf. A000583 (4th powers).

Sequence in context: A084584 A188089 A190699 * A047722 A161451 A100566

Adjacent sequences: A003342 A003343 A003344 * A003346 A003347 A003348

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

Incorrect program removed by David A. Corneth, Aug 03 2020

Status

approved