login
Nim-products of powers of 2, list of entries in matrix A223541.
3

%I #14 Apr 04 2013 14:26:21

%S 1,2,3,4,6,8,11,12,13,16,24,32,44,48,52,64,75,96,103,128,141,176,185,

%T 192,198,208,222,256,384,512,704,768,832,1024,1200,1536,1648,2048,

%U 2256,2816,2960,3072,3168,3328,3552,4096,4237,6144,6237

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

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

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

%H Tilman Piesk, <a href="/A223543/b223543.txt">Table of n, a(n) for n = 0..6560</a>

%H Tilman Piesk, <a href="http://en.wikiversity.org/wiki/Walsh_permutation;_nimber_multiplication">Walsh permutation; nimber multiplication</a> (Wikiversity)

%H Tilman Piesk, <a href="/A223543/a223543.txt">Detailed list, including the entries' positions in the matrix</a>

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

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

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

%Y Cf. A051775 (nim-multiplication table).

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

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

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

%Y Cf. A000079 (powers of 2).

%Y Cf. A000244 (powers of 3).

%K nonn

%O 0,2

%A _Tilman Piesk_, Mar 21 2013