A078198 - OEIS

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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 (list; graph; refs; listen; history; text; internal format)

	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: A015903 A224860 A327309 * A171865 A068059 A108868` `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`

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Last modified January 19 13:17 EST 2021. Contains 340270 sequences. (Running on oeis4.)