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A160424 Partial sums of A139250. 2
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified December 7 22:50 EST 2021. Contains 349590 sequences. (Running on oeis4.)