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A054965 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. 2
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; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..65.

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.

PROG

(PARI) a(n) = n*log(10)\log(3); \\ Michel Marcus, Aug 03 2017

CROSSREFS

Cf. A066343.

Sequence in context: A059534 A137804 A246414 * A059548 A064720 A029741

Adjacent sequences:  A054962 A054963 A054964 * A054966 A054967 A054968

KEYWORD

base,nonn

AUTHOR

Henry Bottomley, Dec 13 2002

STATUS

approved

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Last modified January 20 10:23 EST 2018. Contains 297960 sequences.