A166918 Triangle T(n,k) read by rows: T(n,0) = n mod 2. T(n,k) = 2^(k-1), 0<k<=n.

0, 1, 1, 0, 1, 2, 1, 1, 2, 4, 0, 1, 2, 4, 8, 1, 1, 2, 4, 8, 16, 0, 1, 2, 4, 8, 16, 32, 1, 1, 2, 4, 8, 16, 32, 64, 0, 1, 2, 4, 8, 16, 32, 64, 128, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 0, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1, 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

Offset

0,6

Links

Table of n, a(n) for n=0..77.

Formula

T(2n,k) = A131577(k). T(2n+1,k) = A011782(k).

sum_{k=0..n} T(n,k) = A166920(n).

Example

0;
1,1;
0,1,2;
1,1,2,4;
0,1,2,4,8;
1,1,2,4,8,16;
0,1,2,4,8,16,32;
1,1,2,4,8,16,32,64;

Mathematica

 t[n_, 0] := Mod[n, 2]; t[n_, k_] := 2^(k - 1); Table[ t[n, k], {n, 0, 11}, {k, 0, n}] // Flatten

Crossrefs

Cf. A166692, A059268.

Sequence in context: A077971 A030018 A010739 * A143576 A297159 A293438

Adjacent sequences: A166915 A166916 A166917 * A166919 A166920 A166921

Keyword

nonn,tabl,easy

Author

Paul Curtz, Oct 23 2009

Status

approved