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

1,2

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).

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)

Formula

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

Example

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.

Crossrefs

Cf. A223537, A223538.

Sequence in context: A074897 A090556 A369152 * A332520 A211544 A325109

Adjacent sequences: A223536 A223537 A223538 * A223540 A223541 A223542

Keyword

nonn

Author

Tilman Piesk, Mar 21 2013

Status

approved