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A164346
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a(n) = 3 * 4^n.
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13
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3, 12, 48, 192, 768, 3072, 12288, 49152, 196608, 786432, 3145728, 12582912, 50331648, 201326592, 805306368, 3221225472, 12884901888, 51539607552, 206158430208, 824633720832, 3298534883328, 13194139533312, 52776558133248
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OFFSET
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0,1
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COMMENTS
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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
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LINKS
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Vincenzo Librandi, Table of n, a(n) for n = 0..500
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FORMULA
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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. - R. J. Mathar, Aug 17 2009
a(n) = 3*A000302(n). - Omar E. Pol, Feb 18 2013
a(n) = A000079(2*n) + A000079(2*n+1). - M. F. Hasler, Jul 28 2015
E.g.f.: 3*exp(4*x). - G. C. Greubel, Sep 15 2017
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MATHEMATICA
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3 4^Range[0, 30] (* Harvey P. Dale, Mar 11 2011 *)
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PROG
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(MAGMA) [ 3*4^n: n in [0..22] ];
(PARI) A164346(n)=3*4^n \\ M. F. Hasler, Jul 28 2015
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CROSSREFS
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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: A259865 A254942 A077828 * A002001 A113956 A323261
Adjacent sequences: A164343 A164344 A164345 * A164347 A164348 A164349
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KEYWORD
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nonn
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AUTHOR
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Klaus Brockhaus, Aug 13 2009
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STATUS
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approved
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