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A116192 Triangle T(n,k), 0<=k<=n : T(n,k)is smallest number such that T(n,k)>T(n-1,k-1), T(n,k)>T(n-1,k), T(n,k)and T(n-1,k-1)+T(n-1,k) have the same parity, T(0,0)=1 . 0
1, 3, 3, 5, 4, 5, 7, 7, 7, 7, 9, 8, 8, 8, 9, 11, 11, 10, 10, 11, 11, 13, 12, 13, 12, 13, 12, 13, 15, 15, 15, 15, 15, 15, 15, 15, 17, 16, 16, 16, 16, 16, 16, 16, 17, 19, 19, 18, 18, 18, 18, 18, 18, 19, 19, 21, 20, 21, 20, 20, 20, 20, 20, 21, 20, 21, 23, 23, 23, 23, 22, 22, 22, 22 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sequence read mod 2 gives A047999 .

LINKS

Table of n, a(n) for n=0..73.

FORMULA

Sum_{k, 0<=k<=n}T(n,k)=A128806(n). T(2n,n)=A008574(n). T(n,k)=2n+1 if binomial(n,k) is odd, T(n,k)=2n if binomial(n,k) is even .

EXAMPLE

Triangle begins:

1;

3, 3;

5, 4, 5;

7, 7, 7, 7;

9, 8, 8, 8, 9;

11, 11, 10, 10, 11, 11;

13, 12, 13, 12, 13, 12, 13;

15, 15, 15, 15, 15, 15, 15, 15 ;...

CROSSREFS

Diagonals : A005408, A014601.

Sequence in context: A072820 A204004 A131950 * A090104 A333822 A075795

Adjacent sequences:  A116189 A116190 A116191 * A116193 A116194 A116195

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Apr 08 2007

STATUS

approved

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Last modified November 28 13:41 EST 2021. Contains 349412 sequences. (Running on oeis4.)