A393033 a(n) = min{k | k can be represented in n different ways as s_1^x_1 + ... + s_t^x_t, with 0 < s_1 < ... < s_t and x_1 > ... > x_t > 1 for some t > 0, with the restriction that if s_1 = 1 then x_1 is the least possible}.

1, 9, 17, 64, 108, 81, 129, 177, 145, 321, 354, 353, 513, 609, 545, 593, 577, 964, 658, 721, 1105, 657, 1018, 1106, 986, 1050, 1241, 1169, 1306, 1170, 1497, 1946, 1770, 1601, 1386, 1753, 1714, 1754, 1498, 2385, 2466, 2026, 2153, 2025, 2378, 2266, 2226, 2281, 2738, 2410, 2709, 2010

Offset

1,2

Links

Table of n, a(n) for n=1..52.

Alberto Zanoni, DE-numbers.

Example

1  = 1^2.
9  = 3^2       = 1^3 + 2^2.
17 = 1^3 + 4^2 = 1^5 + 2^4 = 2^3 + 3^2.
64 = 2^6       = 4^3       = 8^2       = 1^4 + 3^3 + 6^2.

Crossrefs

Cf. A393024, A393025, A393026, A393027, A393028, A393029, A393030, A393031, A393032, A393034.

Sequence in context: A147138 A282764 A319018 * A101304 A146601 A121955

Adjacent sequences: A393030 A393031 A393032 * A393034 A393035 A393036

Keyword

nonn

Author

Alberto Zanoni, Feb 01 2026

Status

approved