A351066 Sums of three perfect powers with different exponents: m = a^x + b^y + c^z with a > 0, b > 0, c > 0, x > 1, y > 1, z > 1 and x, y, z are all different, with m not representable with fewer such addends.

3, 6, 11, 18, 21, 34, 45, 56, 69, 74, 75, 84, 93, 98, 105, 112, 123, 124, 131, 138, 143, 146, 149, 154, 159, 166, 173, 178, 187, 190, 191, 194, 203, 210, 213, 214, 215, 218, 219, 222, 227, 234, 235, 236, 239, 240, 245, 254, 255, 258, 261, 262, 263, 266, 267, 274, 275, 276

Offset

1,1

Links

Table of n, a(n) for n=1..58.

Example

3 is a term as 3 = 1^2 + 1^3 + 1^4.
6 is a term as 6 = 2^2 + 1^3 + 1^4.
18 is a term. The possibilities are 1^2 + 1^3 + 2^4 or 3^2 + 2^3 + 1^4 or 4^2 + 1^3 + 1^4 (considering only minimal possible exponents for bases equal to 1).

Crossrefs

Cf. A074499, A351062, A351063.

Sequence in context: A302550 A310117 A161864 * A310118 A010335 A310119

Adjacent sequences: A351063 A351064 A351065 * A351067 A351068 A351069

Keyword

nonn

Author

Alberto Zanoni, Jan 31 2022

Extensions

Definition clarified by Alberto Zanoni, Feb 28 2022

Status

approved