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A170855
a(0) = 0, a(1) = 1; a(2^i + j) = a(j) + 3a(j + 1) for 0 <= j < 2^i.
0
0, 1, 3, 10, 3, 10, 33, 19, 3, 10, 33, 19, 33, 109, 90, 28, 3, 10, 33, 19, 33, 109, 90, 28, 33, 109, 90, 118, 360, 379, 174, 37, 3, 10, 33, 19, 33, 109, 90, 28, 33, 109, 90, 118, 360, 379, 174, 37, 33, 109, 90, 118, 360, 379, 174, 127, 360, 379, 444, 1198, 1497, 901, 285, 46
OFFSET
0,3
LINKS
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.]
CROSSREFS
Sequence in context: A167790 A010708 A072988 * A338683 A361943 A320583
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, Jan 02 2010
STATUS
approved