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A164346 a(n) = 3*4^n. 9
3, 12, 48, 192, 768, 3072, 12288, 49152, 196608, 786432, 3145728, 12582912, 50331648, 201326592, 805306368, 3221225472, 12884901888, 51539607552, 206158430208, 824633720832, 3298534883328, 13194139533312, 52776558133248 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Binomial transform of A000244 without initial 1.

Second binomial transform of A007283.

Third binomial transform of A010701.

Inverse binomial transform of A005053 without initial 1.

First differences of A024036. - Omar E. Pol, Feb 16 2013

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..500

FORMULA

a(n) = 4*a(n-1) for n > 1; a(0) = 3.

G.f.: 3/(1-4*x).

a(n) = A002001(n+1). a(n) = A096045(n)+2. a(n) = A140660(n)-1.

a(n) = A002023(n)/2. a(n) = A002063(n)/3. a(n) = A056120(n+3)/9.

Apparently a(n) = A084509(n+3)/2.

a(n)=A110594(n+1), n>1. [From R. J. Mathar, Aug 17 2009]

a(n) = 3*A000302(n). - Omar E. Pol, Feb 18 2013

MATHEMATICA

3 4^Range[0, 30]  (* From Harvey P. Dale, Mar 11 2011 *)

PROG

(MAGMA) [ 3*4^n: n in [0..22] ];

CROSSREFS

Cf. A000302 (powers of 4), A000244 (powers of 3), A007283 (3*2^n), A010701 (all 3's), A005053, A002001, A096045, A140660 (3*4^n+1), A002023 (6*4^n), A002063(9*4^n), A056120, A084509.

Sequence in context: A151167 A064562 A077828 * A002001 A113956 A103943

Adjacent sequences:  A164343 A164344 A164345 * A164347 A164348 A164349

KEYWORD

nonn

AUTHOR

Klaus Brockhaus, Aug 13 2009

STATUS

approved

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Last modified August 1 19:36 EDT 2014. Contains 245137 sequences.