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A099888
XOR BINOMIAL transform of the powers of 3.
2
1, 2, 8, 16, 80, 160, 640, 2784, 6560, 21824, 65280, 131072, 524800, 1056192, 4201728, 8408000, 43046720, 86135424, 361186816, 1467183104, 3443838080, 11367226112, 32550397696, 70111011712, 282403304960, 569106797952
OFFSET
0,2
COMMENTS
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.
LINKS
FORMULA
a(n) = SumXOR_{k=0..n} (C(n, k) mod 2)*3^k, where SumXOR is summation under XOR.
PROG
(PARI) a(n)=local(B); B=0; for(i=0, n, B=bitxor(B, binomial(n, i)%2*3^(n-i))); B
CROSSREFS
Sequence in context: A354275 A195798 A100736 * A249308 A353820 A199043
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Oct 29 2004
STATUS
approved