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A056576 Highest k with 2^k<=3^n. 6
0, 1, 3, 4, 6, 7, 9, 11, 12, 14, 15, 17, 19, 20, 22, 23, 25, 26, 28, 30, 31, 33, 34, 36, 38, 39, 41, 42, 44, 45, 47, 49, 50, 52, 53, 55, 57, 58, 60, 61, 63, 64, 66, 68, 69, 71, 72, 74, 76, 77, 79, 80, 82, 84, 85, 87, 88, 90, 91, 93, 95, 96, 98, 99, 101, 103, 104, 106, 107 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

FORMULA

a(n) = floor[log2(3^n)] =log2(A000244(n)-A056576(n)) =a(n-1)+A022921(n-1)

EXAMPLE

a(3)=4 because 3^3=27 and 2^4=16 is power of 2 immediately below 27

MATHEMATICA

Table[ Floor[Log[2, 3^n]], {n, 0, 69}] (from Robert G. Wilson v (rgwv(at)rgwv.com), Apr 06 2006) - Henry Bottomley (se16(AT)btinternet.com), Jun 29 2000

CROSSREFS

Cf. A056850.

Sequence in context: A186539 A054385 A172272 * A182770 A059552 A047516

Adjacent sequences:  A056573 A056574 A056575 * A056577 A056578 A056579

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jun 29 2000

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.