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Search: id:A099890
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| A099890 |
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XOR BINOMIAL transform of the odd numbers; also the main diagonal of the XOR difference triangle A099889. |
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+0
2
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| 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, 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
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(0) = 1; a(2^n) = 2^(n+1); a(n) = 0 otherwise. a(n)=local(B);B=0;for(i=0, n, B=bitxor(B, binomial(n, i)%2*(2*(n-i)+1)));B
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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*(2*(n-i)+1))); B
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CROSSREFS
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Cf. A099884, A099889.
Sequence in context: A073800 A076813 A049289 this_sequence A137511 A011166 A115341
Adjacent sequences: A099887 A099888 A099889 this_sequence A099891 A099892 A099893
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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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