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A116192
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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 .
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0
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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; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sequence read mod 2 gives A047999 .
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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 .
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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 ;...
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CROSSREFS
| Diagonals : A005408, A014601.
Sequence in context: A072820 A204004 A131950 * A090104 A075795 A058268
Adjacent sequences: A116189 A116190 A116191 * A116193 A116194 A116195
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KEYWORD
| nonn,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 08 2007
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