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Search: id:A153000
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A153000 a(n) = (A139250(n+2)-3)/4 = (A152998(n+1)-1)/2. +0
22
0, 1, 2, 3, 5, 8, 10, 11, 13, 16, 19, 23, 30, 38, 42, 43, 45, 48, 51, 55, 62, 70, 75, 79, 86, 95, 105, 120, 142, 162, 170, 171, 173, 176, 179, 183, 190, 198, 203, 207, 214, 223, 233, 248, 270, 290, 299, 303, 310, 319, 329, 344, 366, 387 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: (1+x)*(Prod(1+x^(2^k-1)+2*x^(2^k),k=1..oo)-1)/((1-x)*(1+2*x)). - N. J. A. Sloane, May 20 2009

MAPLE

G := (1+x)*(mul(1+x^(2^k-1)+2*x^(2^k), k=1..20)-1)/((1-x)*(1+2*x)); - N. J. A. Sloane, May 20 2009

CROSSREFS

Cf. toothpick sequence: A139250.

Cf. A139251, A139252, A139560, A152968, A152973, A152978.

Cf. A152980, A153006.

Sequence in context: A028841 A028840 A047605 this_sequence A099107 A085833 A066896

Adjacent sequences: A152997 A152998 A152999 this_sequence A153001 A153002 A153003

KEYWORD

nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Dec 16 2008, Dec 20 2008, Jan 02 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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