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

0,2

Links

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

Example

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.

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 *)

Crossrefs

Cf. A245618, A245619.

Sequence in context: A371619 A265447 A156538 * A217503 A165466 A175392

Adjacent sequences: A249765 A249766 A249767 * A249769 A249770 A249771

Keyword

nonn

Author

Vladimir Shevelev, Nov 05 2014

Extensions

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

Status

approved