

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
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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

Table of n, a(n) for n=0..38.
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+x3*x^22*x^3)/((12*x^2)*(13*x^2)).
a(n) = ((5(1)^n)/2)^((2*n1+(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: A257862 A329449 A227928 * A095260 A171572 A113234
Adjacent sequences: A098290 A098291 A098292 * A098294 A098295 A098296


KEYWORD

nonn,easy


AUTHOR

Wolfdieter Lang, Oct 18 2004


STATUS

approved



