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

1,2

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A331527

Example

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

Prog

(PARI) See Links section.

Crossrefs

See A331435 for similar sequences.

Cf. A000584, A100274.

Sequence in context: A355026 A238963 A342940 * A326575 A331848 A290728

Adjacent sequences: A331524 A331525 A331526 * A331528 A331529 A331530

Keyword

nonn

Author

Rémy Sigrist, Jan 19 2020

Status

approved