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 A164346 a(n) = 3 * 4^n. 13
 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 Index entries for linear recurrences with constant coefficients, signature (4). 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. - 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 MATHEMATICA 3 4^Range[0, 30] (* Harvey P. Dale, Mar 11 2011 *) PROG (Magma) [ 3*4^n: n in [0..22] ]; (PARI) A164346(n)=3*4^n \\ M. F. Hasler, Jul 28 2015 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: A259865 A254942 A077828 * A002001 A113956 A323261 Adjacent sequences: A164343 A164344 A164345 * A164347 A164348 A164349 KEYWORD nonn AUTHOR Klaus Brockhaus, Aug 13 2009 STATUS approved

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Last modified December 4 11:15 EST 2023. Contains 367560 sequences. (Running on oeis4.)