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
Keywords
Examples
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
Links
- Rémy Sigrist, Table of n, a(n) for n = 1..10000
- Rémy Sigrist, PARI program for A331526
Programs
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PARI
See Links section.