A223543 Nim-products of powers of 2, list of entries in matrix A223541.

1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 24, 32, 44, 48, 52, 64, 75, 96, 103, 128, 141, 176, 185, 192, 198, 208, 222, 256, 384, 512, 704, 768, 832, 1024, 1200, 1536, 1648, 2048, 2256, 2816, 2960, 3072, 3168, 3328, 3552, 4096, 4237, 6144, 6237

Offset: 0

Author

Tilman Piesk, Mar 21 2013

Keywords

• nonn

Comments

List of entries in the nim-multiplication table of powers of 2 (A223541).

First 3^n entries are the distinct entries of multiplication table of size 2^n.

Examples

			a(23) = 192, which is the result of the nim-multiplications 2*128 and 8*32.
		

Links

• Tilman Piesk, Table of n, a(n) for n = 0..6560
• Tilman Piesk, Walsh permutation; nimber multiplication (Wikiversity)
• Tilman Piesk, Detailed list, including the entries' positions in the matrix

Crossrefs

Cf. A051775 (nim-multiplication table).

Cf. A223541 (nim-multiplication table of powers of 2).

Cf. A006017 (nim-squares of powers of 2).

Cf. A006046 (sum of first n rows in Sierpinski's triangle).

Cf. A000079 (powers of 2).

Cf. A000244 (powers of 3).

Formula

A223541(m,n) = a( A223542(m,n) ).

a(0,2,4,8,10,14,18,26...) = a( A006046(1,2,3...) - 1 ) = A006017.