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 A098293 Powers of 2 alternating with powers of 3. 2
 1, 1, 2, 3, 4, 9, 8, 27, 16, 81, 32, 243, 64, 729, 128, 2187, 256, 6561, 512, 19683, 1024, 59049, 2048, 177147, 4096, 531441, 8192, 1594323, 16384, 4782969, 32768, 14348907, 65536, 43046721, 131072, 129140163, 262144, 387420489, 524288 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS The finite sequence [1,2,3,4,9,8,27] is used in Timaios [35b] by Platon. REFERENCES Luc Brisson, Le Même et l'Autre dans la Structure Ontologique du Timée de Platon, Klincksieck, Paris, 1974, p. 317. LINKS Index entries for linear recurrences with constant coefficients, signature (0,5,0,-6). FORMULA a(2*k) = 2^k, a(2*k+1) = 3^k, k>=0. G.f.: (1+x-3*x^2-2*x^3)/((1-2*x^2)*(1-3*x^2)). a(n) = ((5-(-1)^n)/2)^((2*n-1+(-1)^n)/4). - Luce ETIENNE, Dec 13 2014 MAPLE seq(seq(k^n, k=2..3), n=0..19); # Zerinvary Lajos, Jun 29 2007 MATHEMATICA With[{nn=20}, Riffle[2^Range[0, nn], 3^Range[0, nn]]] (* Harvey P. Dale, Nov 28 2011 *) Flatten[Table[{2^n, 3^n}, {n, 0, 20}]] (* Vincenzo Librandi, May 10 2015 *) PROG (MAGMA) &cat[ [2^n, 3^n]: n in [0..30]]; // Vincenzo Librandi, May 10 2015 CROSSREFS Except for initial 1, reordering of A006899. Sequence in context: A255509 A257862 A227928 * A095260 A171572 A113234 Adjacent sequences:  A098290 A098291 A098292 * A098294 A098295 A098296 KEYWORD nonn,easy AUTHOR Wolfdieter Lang, Oct 18 2004 STATUS approved

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Last modified March 20 23:31 EDT 2018. Contains 300993 sequences. (Running on oeis4.)