A078198 Numbers that cannot be partitioned into distinct powers of 3, 5 and 7, all with positive exponents.

1, 2, 4, 6, 11, 13, 18, 20, 22, 23, 26, 29, 31, 38, 45, 47, 50, 53, 72, 75, 78, 80, 87, 94, 99, 103, 107, 112, 119, 126, 131, 156, 175, 200, 205, 212, 219, 224, 228, 232, 237, 244, 256, 281, 293, 318, 330, 337, 342, 369, 374, 418, 455, 462, 499, 543, 548, 575

Offset

1,2

Comments

Comment from Don Reble, Apr 05 2010: This appears to be a finite sequence. It's straightforward to show that a(377)=40876617, and that there are no more terms below 41583755582761723342524882185. After that, I'm stuck.

Links

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

Example

6 is here because 3+3 doesn't count (not all distinct); 5+1 doesn't count (zero exponent).
2271 is not a member because 2271 = 3^1+3^2+3^3+3^4+3^5+3^6 + 5^1+5^2+5^3+5^4 + 7^1+7^2+7^3

Crossrefs

Cf. A174656.

Sequence in context: A224860 A327309 A350668 * A171865 A372622 A344622

Adjacent sequences: A078195 A078196 A078197 * A078199 A078200 A078201

Keyword

nonn

Author

Wouter Meeussen, Mar 20 2010

Extensions

Edited by Don Reble, Apr 05 2010

Status

approved