OFFSET
0,2
COMMENTS
See A099884 for the definitions of the XOR BINOMIAL transform and the XOR difference triangle.
FORMULA
a(2^n) = 2^(n+1)+1 for n>0, with a(0)=1 and a(k)=0 otherwise. a(n) = SumXOR_{i=0..n} (C(n, i)mod 2)*A000069(n-i) and SumXOR is summation under XOR.
EXAMPLE
PROG
(PARI) {a(n)=local(B); B=0; for(i=0, n, B=bitxor(B, binomial(n, i)%2*A000069(n-i) )); B}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 29 2004
STATUS
approved