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%I #8 May 09 2023 18:30:00
%S 1,2,8,16,80,160,640,2784,6560,21824,65280,131072,524800,1056192,
%T 4201728,8408000,43046720,86135424,361186816,1467183104,3443838080,
%U 11367226112,32550397696,70111011712,282403304960,569106797952
%N XOR BINOMIAL transform of the powers of 3.
%C 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.
%H Paul D. Hanna, <a href="/A099888/b099888.txt">Table of n, a(n) for n = 0..1024</a>
%F a(n) = SumXOR_{k=0..n} (C(n, k) mod 2)*3^k, where SumXOR is summation under XOR.
%o (PARI) a(n)=local(B);B=0;for(i=0,n,B=bitxor(B,binomial(n,i)%2*3^(n-i)));B
%Y Cf. A099884, A099887.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Oct 29 2004
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