



0, 1, 4, 11, 22, 37, 60, 95, 138, 185, 240, 307, 386, 481, 604, 759, 930, 1105, 1288, 1483, 1690, 1913, 2164, 2447, 2750, 3069, 3416, 3799, 4222, 4705, 5276, 5927, 6610, 7297, 7992, 8699, 9418, 10153, 10916, 11711, 12526, 13357, 14216, 15111, 16046, 17041, 18124
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OFFSET

0,3


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..65535
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, Congressus Numerantium, Vol. 206 (2010), 157191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n1)1) for n >= 2.]
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS


FORMULA

G.f.: (x/((1x)^2*(1+2*x))) * (1+2*x*prod(k>=0, 1+x^(2^k1)+2*x^(2^k))).  Vincenzo Librandi, Aug 22 2014


MATHEMATICA

CoefficientList[Series[(x/((1  x)^2 (1 + 2 x))) (1 + 2 x Product[1 + x^(2^k1) + 2 x^(2^k), {k, 0, 20}]), {x, 0, 50}], x] (* Vincenzo Librandi, Aug 22 2014 *)


CROSSREFS

Cf. A139250, A139251.
Sequence in context: A008162 A084849 A008265 * A008229 A301076 A301188
Adjacent sequences: A160421 A160422 A160423 * A160425 A160426 A160427


KEYWORD

nonn


AUTHOR

Omar E. Pol, May 23 2009


EXTENSIONS

More terms from N. J. A. Sloane, May 17 2010


STATUS

approved



