0,2

Row sums of A114213.

a(n)=sum{k=0..n, mod(sum{j=0..n-k, C(k, j)C(n-k, j)(1+(-1)^k)/2}, 2)}; a(n)=A001316(n)+A001316((n-2)/2)(1+(-1)^n)/2.

Contribution from Omar E. Pol (info(AT)polprimos.com), Jun 09 2009: (Start)

Triangle begins:

1;

2,3;

4,4,4,6;

8,6,4,6,8,8,8,12;

16,10,4,6,8,8,8,12,16,12,8,12,16,16,16,24;

32,18,4,6,8,8,8,12,16,12,8,12,16,16,16,24,32,20,8,12,16,16,16,24,32,24,...

Also, we can write the initial term followed by a triangle:

1;

2;

3,4;

4,4,6,8;

6,4,6,8,8,8,12,16;

10,4,6,8,8,8,12,16,12,8,12,16,16,16,24,32;

18,4,6,8,8,8,12,16,12,8,12,16,16,16,24,32,20,8,12,16,16,16,24,32,24,16,...

Also, we can write two first terms followed by a triangle:

1;

2;

3;

4,4;

4,6,8,6;

4,6,8,8,8,12,16,10;

4,6,8,8,8,12,16,12,8,12,16,16,16,24,32,18;

4,6,8,8,8,12,16,12,8,12,16,16,16,24,32,20,8,12,16,16,16,24,32,24,16,24,32,...

(End)

Cf. A000079. [From Omar E. Pol (info(AT)polprimos.com), Jun 09 2009]

Sequence in context: A087875 A099777 A131798 this_sequence A108355 A057951 A076410

Adjacent sequences: A114209 A114210 A114211 this_sequence A114213 A114214 A114215

easy,nonn

Paul Barry (pbarry(AT)wit.ie), Nov 17 2005