A331522 a(n) is the least positive k such that A078523(n) - k^2 is a sixth power.

1, 2, 4, 6, 3, 5, 10, 7, 14, 13, 16, 17, 20, 24, 23, 26, 2, 10, 20, 33, 22, 35, 36, 37, 40, 32, 43, 45, 47, 54, 55, 56, 50, 57, 52, 58, 9, 11, 65, 66, 19, 25, 29, 73, 74, 75, 45, 84, 55, 80, 59, 61, 90, 93, 94, 71, 97, 75, 98, 79, 81, 100, 85, 110, 91, 110, 95

Offset

1,2

Links

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

Rémy Sigrist, PARI program for A331522

Example

The first terms, alongside A078523(n), are:
  n   a(n)  A078523(n)
  --  ----  ----------------
   1     1    2 =  1^2 + 1^6
   2     2    5 =  2^2 + 1^6
   3     4   17 =  4^2 + 1^6
   4     6   37 =  6^2 + 1^6
   5     3   73 =  3^2 + 2^6
   6     5   89 =  5^2 + 2^6
   7    10  101 = 10^2 + 1^6
   8     7  113 =  7^2 + 2^6
   9    14  197 = 14^2 + 1^6
  10    13  233 = 13^2 + 2^6

Prog

(PARI) See Links section.

Crossrefs

See A331435 for similar sequences.

Cf. A001014, A078523.

Sequence in context: A346150 A369293 A104492 * A075075 A088178 A259840

Adjacent sequences: A331519 A331520 A331521 * A331523 A331524 A331525

Keyword

nonn

Author

Rémy Sigrist, Jan 19 2020

Status

approved