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Search: id:A152978
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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; listen)
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OFFSET
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1,4
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COMMENT
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Also, first differences of toothpick numbers A153000.
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FORMULA
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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
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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.
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CROSSREFS
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Cf. toothpick sequence A139250.
Cf. A139251, A139252, A139560, A152968, A152973.
Cf. A152980, A152998, A153000, A153001, A153003, A153004, A153006.
Sequence in context: A084199 A030314 A098236 this_sequence A118121 A006968 A058207
Adjacent sequences: A152975 A152976 A152977 this_sequence A152979 A152980 A152981
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KEYWORD
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nonn,easy
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Dec 16 2008, Dec 20 2008
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EXTENSIONS
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More terms from Omar E. Pol (info(AT)polprimos.com), Jul 26 2009
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