A223539 List of entries in the compressed nim-multiplication table (A223537).

1, 2, 3, 4, 5, 8, 10, 12, 15, 16, 17, 32, 34, 48, 51, 64, 68, 80, 85, 96, 128, 136, 160, 170, 176, 192, 204, 208, 240, 255, 256, 257, 512, 514, 768, 771, 1024, 1028, 1280, 1285, 2048, 2056, 2560, 2570, 3072, 3084, 3840, 3855, 4096, 4112, 4352

Offset: 1

Author

Tilman Piesk, Mar 21 2013

Keywords

• nonn

Comments

List of entries in the compressed nim-multiplication table (A223537).

The first 1, 3, 9, 30, 108, 402, 1548, 6072, 24048, ... entries are the distinct entries of A223537-submatrices of size 1, 2, 4, 8, 16, 32, 64, 128, 256, ... (A000079).

Examples

			Biggest entry of 8 X 8 submatrix of A223537 is A223537(7,7) = a(29) = 255.
Biggest entry of 16 X 16 submatrix of A223537 is A223537(15,15) = a(107) = 65535.
		

Links

• Tilman Piesk, Table of n, a(n) for n = 1..6072
• Tilman Piesk, Table of n, a(n) for n = 1..24048
• Tilman Piesk, Detailed list, including the entries' positions in the matrix
• Tilman Piesk, Walsh permutation; nimber multiplication (Wikiversity)

Crossrefs

Cf. A223537, A223538.

Formula

A223537(m,n) = a(A223538(m,n)).