A051911 - OEIS

%I #12 Aug 11 2014 22:45:19

%S 1,2,3,3,1,2,4,8,12,6,5,10,15,2,7,6,11,13,14,8,5,7,9,14,10,13,3,4,8,

%T 12,4,11,3,7,15,13,9,14,7,15,6,1,8,5,12,10,15,5,3,9,12,6,1,11,14,11,

%U 13,6,7,12,10,1,9,2,4,15,12,4,8,13,1,9,5,6,10,2,14,11,13,6,11,9,4,15,2,14,3,8

%N Triangle T(n,m) = Nim-product of n and m, read by rows, 1<=n<=m.

%C A051910 with the first column (the zeros) removed.

%D J. H. Conway, On Numbers and Games, Academic Press, p. 52.

%H R. J. Mathar, <a href="/A051911/b051911.txt">Table of n, a(n) for n = 1..3240</a>

%H <a href="/index/Ni#Nimmult">Index entries for sequences related to Nim-multiplication</a>

%e Triangle starts

%e 1;

%e 2,  3;

%e 3,  1,  2;

%e 4,  8, 12,  6;

%e 5, 10, 15,  2,  7;

%e 6, 11, 13, 14,  8, 5;

%e 7,  9, 14, 10, 13, 3,  4;

%e 8, 12,  4, 11,  3, 7, 15, 13;

%Y Cf. A051776, A003987, A051775, A051776, A051910.

%K tabl,nonn,easy,nice

%O 1,2

%A _N. J. A. Sloane_, Dec 20 1999

%E More terms (taken from the Conway reference) from _Joshua Zucker_, May 03 2006