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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			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)
		

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.

Crossrefs

Cf. A000583 (4th powers).

Programs

Mathematica

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

Extensions

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