A003389 Numbers that are the sum of 11 positive 8th powers.
11, 266, 521, 776, 1031, 1286, 1541, 1796, 2051, 2306, 2561, 2816, 6571, 6826, 7081, 7336, 7591, 7846, 8101, 8356, 8611, 8866, 9121, 13131, 13386, 13641, 13896, 14151, 14406, 14661, 14916, 15171, 15426, 19691, 19946, 20201, 20456, 20711, 20966, 21221, 21476, 21731, 26251
Offset: 1
Examples
From _David A. Corneth_, Aug 03 2020: (Start) 2488200 is in the sequence as 2488200 = 2^8 + 3^8 + 3^8 + 4^8 + 4^8 + 5^8 + 5^8 + 5^8 + 5^8 + 5^8 + 5^8. 3418281 is in the sequence as 3418281 = 3^8 + 3^8 + 3^8 + 3^8 + 3^8 + 3^8 + 3^8 + 3^8 + 3^8 + 6^8 + 6^8. 5249412 is in the sequence as 5249412 = 4^8 + 4^8 + 4^8 + 4^8 + 4^8 + 5^8 + 5^8 + 5^8 + 5^8 + 6^8 + 6^8. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000
- Alexsandar Petojevic, The Function vM_m(s; a; z) and Some Well-Known Sequences, Journal of Integer Sequences, Vol. 5 (2002), Article 02.1.7
Formula
a(n) > 8n/3. (Work mod 32.) - Charles R Greathouse IV, May 04 2015