A331526 a(n) is the least positive k such that A100273(n) - k^3 is a fifth power.

1, 3, 5, 2, 4, 9, 3, 7, 9, 13, 15, 8, 16, 14, 19, 5, 20, 21, 13, 22, 17, 25, 4, 10, 27, 16, 18, 29, 24, 33, 31, 35, 4, 39, 8, 39, 36, 20, 22, 41, 42, 28, 44, 46, 7, 13, 19, 47, 48, 38, 46, 49, 40, 50, 48, 33, 39, 2, 6, 8, 12, 56, 26, 52, 62, 63, 58, 23, 64, 31

Offset

1,2

Links

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

Rémy Sigrist, PARI program for A331526

Example

The first terms, alongside A100273(n), are:
  n   a(n)  A100273(n)
  --  ----  -----------------
   1     1     2 =  1^3 + 1^5
   2     3    59 =  3^3 + 2^5
   3     5   157 =  5^3 + 2^5
   4     2   251 =  2^3 + 3^5
   5     4   307 =  4^3 + 3^5
   6     9   761 =  9^3 + 2^5
   7     3  1051 =  3^3 + 4^5
   8     7  1367 =  7^3 + 4^5
   9     9  1753 =  9^3 + 4^5
  10    13  3221 = 13^3 + 4^5

Prog

(PARI) See Links section.

Crossrefs

See A331435 for similar sequences.

Cf. A000584, A100273.

Sequence in context: A336760 A082822 A109313 * A176881 A065188 A065257

Adjacent sequences: A331523 A331524 A331525 * A331527 A331528 A331529

Keyword

nonn

Author

Rémy Sigrist, Jan 19 2020

Status

approved