A160424 Partial sums of A139250.

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

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), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

Formula

G.f.: (x/((1-x)^2*(1+2*x))) * (1+2*x*prod(k>=0, 1+x^(2^k-1)+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^k-1) + 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