A331527 a(n) is the least positive k such that A100274(n) - k^4 is a fifth power.

1, 2, 3, 4, 4, 6, 8, 6, 7, 10, 2, 8, 16, 17, 11, 20, 20, 20, 12, 22, 22, 7, 18, 24, 24, 4, 14, 23, 28, 4, 8, 29, 16, 30, 29, 30, 31, 5, 7, 9, 19, 30, 33, 26, 23, 34, 34, 6, 35, 36, 35, 37, 5, 7, 13, 31, 38, 38, 29, 40, 37, 41, 3, 9, 42, 39, 42, 41, 8, 43, 46

Offset: 1

Author

Rémy Sigrist, Jan 19 2020

Keywords

• nonn

Examples

			The first terms, alongside A100274(n), are:
  n   a(n)  A100274(n)
  --  ----  ------------------
   1     1      2 =  1^4 + 1^5
   2     2     17 =  2^4 + 1^5
   3     3    113 =  3^4 + 2^5
   4     4    257 =  4^4 + 1^5
   5     4    499 =  4^4 + 3^5
   6     6   1297 =  6^4 + 1^5
   7     8   4339 =  8^4 + 3^5
   8     6   4421 =  6^4 + 5^5
   9     7  10177 =  7^4 + 6^5
  10    10  10243 = 10^4 + 3^5
		

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A331527

Crossrefs

See A331435 for similar sequences.

Cf. A000584, A100274.

Programs

PARI

See Links section.