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A153010 Indices of A153007 where the entry equals zero. 0
0, 1, 2, 3, 7, 15, 31, 63, 127, 255, 511, 1023, 2047, 4095, 8191, 16383, 32767, 65535, 131071, 262143, 524287, 1048575, 2097151, 4194303, 8388607, 16777215, 33554431, 67108863, 134217727, 268435455, 536870911, 1073741823, 2147483647, 4294967295 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
It appears that this sequence is also the union of 2 and A000225. - Omar E. Pol, Mar 03 2011
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.]
FORMULA
Conjectures from Colin Barker, Nov 24 2019: (Start)
G.f.: x*(1 - x - x^2 + 2*x^3) / ((1 - x)*(1 - 2*x)).
a(n) = 3*a(n-1) - 2*a(n-2) for n>4.
a(n) = 2^(n-1) - 1 for n>2.
(End)
CROSSREFS
Sequence in context: A298403 A177487 A372889 * A076993 A076698 A323598
KEYWORD
nonn
AUTHOR
Omar E. Pol, Dec 21 2008
EXTENSIONS
More terms a(7)-a(18) from Sean A. Irvine, Feb 22 2011
More terms a(19)-a(33) from Omar E. Pol, Mar 03 2011
STATUS
approved

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Last modified August 18 23:05 EDT 2024. Contains 375284 sequences. (Running on oeis4.)