id:A103663 - OEIS Search Results

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Smallest integer base x > 1 such that x^n has no digit 0 in its decimal representation, or 0 if no such x exists.

+0
2

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3, 3, 2, 2, 2, 2, 4, 2, 2, 12, 381, 22, 3, 2, 2, 3, 2, 2, 6, 5, 2, 2, 2, 2, 2, 2, 2, 4, 2, 0, 11, 0, 4, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`Bases associated with A103201.` `Zero values are conjectural. a(40) was checked up to 10^9 by Joshua Zucker. All other zero values were checked up to 10^5 by David Wasserman.`
	EXAMPLE	`a(10) = 5 because 5^10 is the smallest 10th power containing no zero in its decimal representation (2^10 = 1024, 3^10 = 59049, 4^10 = 1048576).`
	CROSSREFS	`Cf. A103662 = smallest power x^n with integer x>1 that has no digit 0 in its decimal representation.` `A007377 gives n such that a(n) = 2. Cf. A008839, A030700-A030706.` `Sequence in context: A156821 A025856 A103378 this_sequence A083311 A037968 A074908` `Adjacent sequences: A103660 A103661 A103662 this_sequence A103664 A103665 A103666`
	KEYWORD	`base,nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), Feb 28 2005`
	EXTENSIONS	`a(21) = 381 found by Joshua Zucker (joshua.zucker(AT)stanfordalumni.org).` `More terms from David Wasserman (dwasserm(AT)earthlink.net), Apr 17 2008`

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Last modified December 20 00:58 EST 2009. Contains 171054 sequences.

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