%I A099888
%S A099888 1,2,8,16,80,160,640,2784,6560,21824,65280,131072,524800,1056192,
%T A099888 4201728,8408000,43046720,86135424,361186816,1467183104,3443838080,
%U A099888 11367226112,32550397696,70111011712,282403304960,569106797952
%N A099888 XOR BINOMIAL transform of the powers of 3.
%C A099888 The diagonal of the XOR difference triangle A099887. The XOR BINOMIAL 
               transform of this sequence returns the powers of 3. See A099884 for 
               the definitions of the XOR BINOMIAL transform and the XOR difference 
               triangle.
%F A099888 a(n) = SumXOR_{k=0..n} (C(n, k) mod 2)*3^k, where SumXOR is summation 
               under XOR.
%o A099888 (PARI) a(n)=local(B);B=0;for(i=0,n,B=bitxor(B,binomial(n,i)%2*3^(n-i)));
               B
%Y A099888 Cf. A099884, A099887.
%Y A099888 Sequence in context: A094014 A098232 A100736 this_sequence A046161 A092978 
               A101059
%Y A099888 Adjacent sequences: A099885 A099886 A099887 this_sequence A099889 A099890 
               A099891
%K A099888 nonn
%O A099888 0,2
%A A099888 Paul D. Hanna (pauldhanna(AT)juno.com), Oct 29 2004