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A001682 Numbers n such that 3^n, 3^(n+1) and 3^(n+2) have same number of digits.
(Formerly M5109 N2213)
+0
2
0, 21, 42, 65, 86, 109, 130, 151, 174, 195, 218, 239, 262, 283, 304, 327, 348, 371, 392, 415, 436, 457, 480, 501, 524, 545, 568, 589, 610, 633, 654, 677, 698, 721, 742, 763, 786, 807, 830, 851, 874, 895, 916, 939, 960, 983, 1004, 1027, 1048 (list; graph; listen)
OFFSET

1,2

COMMENT

Equivalently the fractional part of n*log(3) lies between 0 and 1-2log(3), about .04576; 1-2log(3) is also the density of the sequence. - Kevin Costello Aug 08 2002

REFERENCES

Murray Klamkin and Joe Lipman, Problem E1238, Amer. Math. Monthly, 64 (1957), 367.

CROSSREFS

Sequence in context: A114384 A008603 A086794 this_sequence A078440 A039344 A043167

Adjacent sequences: A001679 A001680 A001681 this_sequence A001683 A001684 A001685

KEYWORD

nonn,base,easy,nice

AUTHOR

njas

EXTENSIONS

More terms from R. K. Guy and Emeric Deutsch, Mar 09 2005

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Last modified September 7 23:08 EDT 2008. Contains 143486 sequences.


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