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

Author

Omar E. Pol, May 23 2009

Keywords

• nonn

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

Crossrefs

Cf. A139250, A139251.

Programs

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 *)

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

Extensions

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