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A063005 Difference between 2^n and the next smaller power of 3. 5
0, 1, 1, 5, 7, 5, 37, 47, 13, 269, 295, 1319, 1909, 1631, 9823, 13085, 6487, 72023, 84997, 347141, 517135, 502829, 2599981, 3605639, 2428309, 19205525, 24062143, 5077565, 139295293, 149450423, 686321335, 985222181, 808182895, 5103150191, 6719515981, 2978678759 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Sequence generalized : a(n) = A^n - B^(floor(log_B (A^n))) where A, B are integers. This sequence has A = 2, B = 3; A056577 has A = 3, B = 2. - Ctibor O. Zizka, Mar 03 2008

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..3324

FORMULA

a(n) = 2^n - 3^(floor (log_3 (2^n)))

MAPLE

a:= n-> (t-> t-3^ilog[3](t))(2^n):

seq(a(n), n=0..40);  # Alois P. Heinz, Oct 11 2019

PROG

(PARI) for(n=0, 50, print1(2^n-3^floor(log(2^n)/log(3))", "))

CROSSREFS

Cf. A056577, A063003, A063004.

Sequence in context: A177735 A139428 A303574 * A145577 A144478 A059249

Adjacent sequences:  A063002 A063003 A063004 * A063006 A063007 A063008

KEYWORD

easy,nonn,changed

AUTHOR

Jens Voß, Jul 02 2001

EXTENSIONS

More terms from Ralf Stephan, Mar 20 2003

STATUS

approved

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Last modified October 19 21:28 EDT 2019. Contains 328244 sequences. (Running on oeis4.)