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A127872 Triangle formed by reading A039599 mod 2. 7
1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Also triangle formed by reading triangles A061554, A106180, A110519, A124574, A124576, A126953, A127543 modulo 2.

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

FORMULA

Sum_{k, 0<=k<=n}T(n,k)*x^k = A000007(n), A036987(n), A001316(n), A062878(n) for n=-1,0,1,2 respectively.

Sum_{k, 0<=k<=n}T(n,k)*Fibonacci(2*k+1)=A050614(n), see A000045 and A001519. - Philippe Deléham, Aug 30 2007

EXAMPLE

Triangle begins:

1;

1, 1;

0, 1, 1;

1, 1, 1, 1;

0, 0, 0, 1, 1;

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

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

1, 1, 1, 1, 1, 1, 1, 1;

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

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

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

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

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

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

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

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

MATHEMATICA

T[0, 0] := 1; T[n_, k_] := Binomial[2*n - 1, n - k] - Binomial[2*n - 1, n - k - 2]; Table[Mod[T[n, k], 2], {n, 0, 10}, {k, 0, n}] // Flatten (* G. C. Greubel, Apr 18 2017 *)

CROSSREFS

Sequence in context: A210826 A299406 A175087 * A129564 A025447 A131078

Adjacent sequences:  A127869 A127870 A127871 * A127873 A127874 A127875

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Apr 05 2007

STATUS

approved

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Last modified February 24 14:41 EST 2018. Contains 299623 sequences. (Running on oeis4.)