id:A054965 - OEIS Search Results

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Beatty sequence for log_3(10), i.e. for 1/log_10(3); so largest exponent of 3 which produces an n-digit decimal number.

+0
1

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 111, 113, 115, 117, 119, 121, 123, 125, 127, 129, 132, 134, 136 (list; graph; listen)

	OFFSET	`1,1`
	LINKS	`Eric Weisstein's World of Mathematics, Beatty Sequence`
	FORMULA	`a(n) = floor[n/log_10(3)] =log_3(A074118(n)) =A062153(A074118(n)).`
	EXAMPLE	`log_10(3)=0.477121... so a(11)=floor[11/0.477121...]=floor[23.0549...]=23; 3^23=94143178827 is the largest 11 decimal digit power of 3.`
	CROSSREFS	`Cf. A066343.` `Sequence in context: A064676 A059534 A137804 this_sequence A059548 A064720 A029741` `Adjacent sequences: A054962 A054963 A054964 this_sequence A054966 A054967 A054968`
	KEYWORD	`base,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Dec 13 2002`

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

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