A249768 Row "sums" of triangle A245618, using the operation <+> defined in A245618.

1, 2, 2, 2, 2, 10, 8, 2, 2, 58, 104, 186, 292, 442, 410, 2, 2, 3434, 6856, 13674, 27192, 53912, 105770, 205628, 389108, 732762, 1286970, 2181624, 3237606, 5206764, 4527418, 2204, 2, 40384330, 80768648, 161537226, 323074168, 646146872, 1292283522, 2584509436

Offset: 0

Author

Vladimir Shevelev, Nov 05 2014

Keywords

• nonn

Examples

			For n=6 we have the following row of triangle A245618: 1  2  3  8  3  2  1.
We have 1<+>2=1, 1<+>3=4, 4<+>8=12, 12<+>3=9, 9<+>2=7, 7<+>1=8. So, a(6)=8.
		

Links

• Peter J. C. Moses, Table of n, a(n) for n = 0..499

Crossrefs

Cf. A245618, A245619.

Programs

Mathematica

parityAdd[a_,b_]:=Abs[a+b (-1)^(a+b)];
t[n_,0]:=1;
t[n_,n_]:=1;
t[n_,k_]:=t[n,k]=parityAdd[t[n-1,k-1],t[n-1,k]];
Map[Fold[parityAdd,First[#],Rest[#]]&,Table[t[n,k],{n,0,40},{k,0,n}]] (* Peter J. C. Moses, Nov 05 2014 *)

Extensions

More terms from Peter J. C. Moses, Nov 05 2014