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%I #6 Sep 07 2016 13:21:20
%S 1,2,4,0,8,0,0,0,16,0,0,0,0,0,0,0,32,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,64,
%T 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,128
%N XOR BINOMIAL transform of the odd numbers; also the main diagonal of the XOR difference triangle A099889.
%F a(0) = 1; a(2^n) = 2^(n+1); a(n) = 0 otherwise.
%o (PARI) a(n)=local(B);B=0;for(i=0,n,B=bitxor(B,binomial(n,i)%2*(2*(n-i)+1)));B
%Y Cf. A099884, A099889.
%K nonn
%O 0,2
%A _Paul D. Hanna_, Oct 29 2004
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