id:A119353 - OEIS Search Results

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A119353

Smallest value obtained by writing n in base b > 1 such that n in base b uses no digit b-1, and then interpreting this as a base b-1 number.

+0
2

0, 1, 2, 2, 3, 4, 5, 6, 6, 4, 5, 9, 6, 7, 12, 12, 9, 10, 11, 16, 12, 13, 14, 20, 15, 16, 17, 8, 9, 25, 10, 11, 18, 19, 20, 24, 12, 13, 23, 14, 15, 25, 26, 31, 32, 33, 34, 42, 35, 36, 32, 33, 34, 35, 40, 36, 37, 38, 39, 45, 40, 41, 42, 43, 27, 28, 29, 46, 30, 31, 32, 55, 33, 34, 35 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`The b that produces the smallest value is always the smallest b such that n in base b does not use b-1.`
	EXAMPLE	`10 = 101_3, 101_2 = 5, so a(10) = 5. 11 = 102_3, which has a 2; 11 = 23_4, which has a 3; 11 = 21_5, 21_4 = 9, so a(11) = 9.`
	CROSSREFS	`Cf. A119352.` `Sequence in context: A129306 A114094 A093936 this_sequence A072586 A028391 A135666` `Adjacent sequences: A119350 A119351 A119352 this_sequence A119354 A119355 A119356`
	KEYWORD	`base,nonn`
	AUTHOR	`Frank Adams-Watters (FrankTAW(AT)Netscape.net), May 15 2006`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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