A359509 a(n) is the number of subsets {b_1, b_2, ..., b_t} of {n, n+1, ..., A359506(n)} containing n with the property that b_1 XOR b_2 XOR ... XOR b_t = 0.

1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 16, 1, 2, 1, 16, 1, 2, 1, 16, 1, 2, 1, 2048, 1, 2, 1, 16, 1, 2, 1, 2048, 1, 2, 1, 16, 1, 2, 1, 2048, 1, 2, 1, 16, 1, 2, 1, 67108864, 1, 2, 1, 16, 1, 2, 1, 2048, 1, 2, 1, 16, 1, 2, 1, 67108864, 1, 2, 1, 16, 1, 2, 1, 2048, 1, 2, 1

Offset: 0

Author

Peter Kagey, Jan 03 2023

Keywords

• nonn

Crossrefs

Cf. A000295, A359508.

Formula

Conjectured formula: a(n) = 2^A000295(A359508(n)) for n > 0.