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

0,2

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.

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

Formula

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

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

Example

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

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).

Sequence in context: A165514 A182417 A189704 * A306802 A293635 A123586

Adjacent sequences: A223540 A223541 A223542 * A223544 A223545 A223546

Keyword

nonn

Author

Tilman Piesk, Mar 21 2013

Status

approved