login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A128937 Triangle formed by reading A039598 mod 2. 3
1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also triangle formed by reading triangles A052179, A053121, A124575, A126075, A126093.

Also triangle formed by reading A065600 mod 2. - Philippe Deléham, Oct 15 2007

LINKS

Table of n, a(n) for n=0..104.

FORMULA

Sum_{k=0..n} T(n,k) = A048896(n).

Sum_{k=0..n} T(n,k)*2^(n-k) = A101692(n). - Philippe Deléham, Oct 09 2007

Sum_{k=0..n} T(n,k)*2^k = A062878(n+1)/3. - Philippe Deléham, Aug 31 2009

EXAMPLE

Triangle begins:

  1;

  0, 1;

  1, 0, 1;

  0, 0, 0, 1;

  0, 0, 1, 0, 1;

  0, 1, 0, 0, 0, 1;

  1, 0, 1, 0, 1, 0, 1;

  0, 0, 0, 0, 0, 0, 0, 1;

  0, 0, 0, 0, 0, 0, 1, 0, 1;

  0, 0, 0, 0, 0, 1, 0, 0, 0, 1;

  0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1;

  0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1;

  0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1;

  0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1;

  1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1;

  0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1; ...

MAPLE

A039598 := proc(n, k)

        binomial(2*n, n-k)-binomial(2*n, n-k-2) ;

end proc:

A128937 := proc(n, k)

        modp(A039598(n, k), 2) ;

end proc: # R. J. Mathar, Apr 21 2021

CROSSREFS

Cf. A048896 (row sums).

Sequence in context: A127253 A117944 A117945 * A288004 A102511 A266669

Adjacent sequences:  A128934 A128935 A128936 * A128938 A128939 A128940

KEYWORD

nonn,tabl,easy

AUTHOR

Philippe Deléham, Apr 27 2007, May 02 2007

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified January 19 18:52 EST 2022. Contains 350466 sequences. (Running on oeis4.)