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A099893
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XOR BINOMIAL transform of A006068 (inverse Gray code).
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1
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0, 1, 3, 0, 7, 0, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 63, 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, 127
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| See A099884 for the definitions of the XOR BINOMIAL transform and the XOR difference triangle.
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FORMULA
| a(2^n) = 2^(n+1)-1 for n>0, with a(0)=0 and a(k)=0 otherwise. a(n) = SumXOR_{i=0..n} (C(n, i)mod 2)*A006068(n-i) and SumXOR is summation under XOR.
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PROG
| (PARI) {a(n)=local(B); B=0; for(i=0, n, B=bitxor(B, binomial(n, i)%2*A006068(n-i) )); B}
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CROSSREFS
| Cf. A099884, A006068, A099894.
Sequence in context: A002043 A171002 A137436 * A135534 A077896 A046269
Adjacent sequences: A099890 A099891 A099892 * A099894 A099895 A099896
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KEYWORD
| nonn,mult
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AUTHOR
| Paul D. Hanna (pauldhanna(AT)juno.com), Oct 29 2004
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