This site is supported by donations to The OEIS Foundation.

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A019302 Binomial transform of Thue-Morse sequence A010060. 1
 0, 1, 3, 6, 11, 20, 36, 64, 115, 216, 430, 892, 1872, 3888, 7920, 15840, 31315, 61744, 122418, 245348, 497650, 1019032, 2096680, 4312224, 8826320, 17925376, 36070128, 71915616, 142239056, 279671360, 548106816, 1073741824, 2108053075 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Reinhard Zumkeller, Table of n, a(n) for n = 0..1000 N. J. A. Sloane, Transforms FORMULA a(n) = sum(A010060(k) * A007318(n,k) : 0 <= k <= n). - Reinhard Zumkeller, May 07 2014 G.f.: (1/2)*(1/(1 - 2*x) - (1/(1 - x))*Product_{k>=0} (1 - x^(2^k)/(1 - x)^(2^k))). - Ilya Gutkovskiy, Aug 20 2018 MATHEMATICA tm[0] = 0; tm[n_?EvenQ] := tm[n] = tm[n/2]; tm[n_] := tm[n] = 1-tm[(n-1)/2]; a[n_] := Sum[tm[k]*Binomial[n, k], {k, 0, n}]; Table[a[n], {n, 0, 40}] (* Jean-François Alcover, Jun 30 2015 *) PROG (Haskell) a019302 = sum . zipWith (*) a010060_list . a007318_row -- Reinhard Zumkeller, May 07 2014 CROSSREFS Cf. A007318, A010060. Sequence in context: A018918 A077855 A054887 * A119861 A255061 A018075 Adjacent sequences:  A019299 A019300 A019301 * A019303 A019304 A019305 KEYWORD nonn,nice AUTHOR EXTENSIONS More terms from Carl Najafi, Sep 08 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified January 18 03:13 EST 2019. Contains 319260 sequences. (Running on oeis4.)