



0, 1, 4, 7, 14, 17, 24, 31, 46, 49, 56, 63, 78, 85, 100, 115, 146, 149, 156, 163, 178, 185, 200, 215, 246, 253, 268, 283, 314, 329, 360, 391, 454, 457, 464, 471, 486, 493, 508, 523, 554, 561, 576, 591, 622, 637, 668, 699, 762, 769, 784, 799, 830, 845, 876, 907
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OFFSET

0,3


COMMENTS

More precisely, a(n)=sum(i<n, A159913(i)), since we want the sequence to start with a(0)=0 and not with A159913(0)=1.
a(n) is also the total number of ON cells after n generations in the outward corner version of the UlamWarburton cellular automaton of A147562, and a(n) is also the total number of Ytoothpicks after n generations in the outward corner version of the Ytoothpick structure of A160120.  David Applegate and Omar E. Pol, Jan 24 2016


LINKS

Table of n, a(n) for n=0..55.
David Applegate, The movie version
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
Index entries for sequences related to cellular automata
Index entries for sequences related to toothpick sequences


FORMULA

a(n) = sum( i=0...n1, A159913(i)) = sum(i=0..n1, 2^A000120(i))*2n
a(n) = n + (A160720(n)  1)/2 = n + 2*(A266532(n)  1)/3 = n + 2*A267700(n1), n >= 1.  Omar E. Pol, Jan 25 2016


MATHEMATICA

Accumulate@ Table[2^(DigitCount[n, 2][[1]] + 1)  1, {n, 0, 54}] (* Michael De Vlieger, Jan 25 2016 *)


PROG

(PARI) A159912(n)=sum(i=0, n1, 1<<norml2(binary(i)))*2n


CROSSREFS

Cf. A000120, A038573, A147562, A159913, A160120, A160720, A266532, A267700.
Sequence in context: A310906 A310907 A310908 * A183060 A310909 A310910
Adjacent sequences: A159909 A159910 A159911 * A159913 A159914 A159915


KEYWORD

nonn


AUTHOR

M. F. Hasler, May 03 2009


STATUS

approved



