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Search: id:A099888
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| A099888 |
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XOR BINOMIAL transform of the powers of 3. |
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+0
2
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| 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
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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.
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FORMULA
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a(n) = SumXOR_{k=0..n} (C(n, k) mod 2)*3^k, where SumXOR is summation under XOR.
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PROGRAM
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(PARI) a(n)=local(B); B=0; for(i=0, n, B=bitxor(B, binomial(n, i)%2*3^(n-i))); B
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CROSSREFS
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Cf. A099884, A099887.
Adjacent sequences: A099885 A099886 A099887 this_sequence A099889 A099890 A099891
Sequence in context: A094014 A098232 A100736 this_sequence A046161 A092978 A101059
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 29 2004
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