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1, 1, 1, 2, 3, 2, 1, 2, 3, 3, 4, 7, 8, 4, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 8, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 9, 4, 7, 9, 10, 15, 22, 21, 14, 15, 23, 28, 35, 52, 64, 48, 16, 1, 2, 3, 3, 4, 7, 8, 5, 4, 7, 9, 10, 15, 22, 20, 9, 4, 7, 9, 10, 15, 22, 21, 14, 15, 23
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| Also, first differences of toothpick numbers A153000.
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LINKS
| David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata
N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
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FORMULA
| G.f.: (1+x)*(Prod(1+x^(2^k-1)+2*x^(2^k),k=1..oo)-1)/(1+2*x). - N. J. A. Sloane, May 20 2009
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EXAMPLE
| If written as a triangle, begins:
.1,1;
.1,2,3,2;
.1,2,3,3,4,7,8,4;
.1,2,3,3,4,7,8,5,4,7,9,10,15,22,20,8;
....
Rows converge to A152980.
It appears that row sums give A004171. [From Omar E. Pol (info(AT)polprimos.com), May 25 2010]
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CROSSREFS
| Cf. toothpick sequence A139250.
Cf. A139251, A139252, A139560, A152968, A152973.
Cf. A152980, A152998, A153000, A153001, A153003, A153004, A153006.
Cf. A004171. [From Omar E. Pol (info(AT)polprimos.com), May 25 2010]
Sequence in context: A084199 A030314 A098236 * A118121 A006968 A058207
Adjacent sequences: A152975 A152976 A152977 * A152979 A152980 A152981
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KEYWORD
| nonn,easy
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AUTHOR
| Omar E. Pol (info(AT)polprimos.com), Dec 16 2008, Dec 20 2008
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EXTENSIONS
| More terms from Omar E. Pol (info(AT)polprimos.com), Jul 26 2009
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