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 A164654 a(n) = 2*a(n-2) for n > 2; a(1) = 3, a(2) = 8. 6
 3, 8, 6, 16, 12, 32, 24, 64, 48, 128, 96, 256, 192, 512, 384, 1024, 768, 2048, 1536, 4096, 3072, 8192, 6144, 16384, 12288, 32768, 24576, 65536, 49152, 131072, 98304, 262144, 196608, 524288, 393216, 1048576, 786432, 2097152, 1572864, 4194304, 3145728 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Interleaving of A007283 and A000079 without initial terms 1, 2, 4. Binomial transform is A164303. LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..100 FORMULA a(n) = (7+(-1)^n)*2^(1/4*(2*n-5+(-1)^n)). G.f.: x*(3+8*x)/(1-2*x^2). MATHEMATICA With[{lst2=2^Range[0, 20]}, Riffle[3*lst2, 8*lst2]] (* or *) LinearRecurrence[ {0, 2}, {3, 8}, 50](* From Harvey P. Dale, Aug 20 2011 *) PROG (MAGMA) [ n le 2 select 5*n-2 else 2*Self(n-2): n in [1..41] ]; (Maxima) a[1]:3\$ a[2]:8\$ a[n]:=2*a[n-2]\$ makelist(a[n], n, 1, 41);  [Bruno Berselli, May 23 2011] CROSSREFS Cf. A007283 (3*2^n), A000079 (powers of 2), A164303. Sequence in context: A155724 A221951 A098737 * A225267 A072396 A001175 Adjacent sequences:  A164651 A164652 A164653 * A164655 A164656 A164657 KEYWORD nonn AUTHOR Klaus Brockhaus, Aug 20 2009 EXTENSIONS G.f. corrected by Klaus Brockhaus, Sep 18 2009 STATUS approved

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