login
This site is supported by donations to The OEIS Foundation.

 

Logo


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

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-Fran├žois Alcover, Jun 30 2015 *)

PROG

(Haskell)

a019302 = sum . zipWith (*) a010060_list . a007318_row

-- Reinhard Zumkeller, May 07 2014

CROSSREFS

Sequence in context: A018918 A077855 A054887 * A119861 A255061 A018075

Adjacent sequences:  A019299 A019300 A019301 * A019303 A019304 A019305

KEYWORD

nonn,nice

AUTHOR

Jonas Wallgren

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 23 13:19 EST 2018. Contains 299581 sequences. (Running on oeis4.)