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 A099890 XOR BINOMIAL transform of the odd numbers; also the main diagonal of the XOR difference triangle A099889. 1
 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; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS FORMULA a(0) = 1; a(2^n) = 2^(n+1); a(n) = 0 otherwise. PROG (PARI) a(n)=local(B); B=0; for(i=0, n, B=bitxor(B, binomial(n, i)%2*(2*(n-i)+1))); B CROSSREFS Cf. A099884, A099889. Sequence in context: A076813 A049289 A258053 * A208745 A137511 A011166 Adjacent sequences:  A099887 A099888 A099889 * A099891 A099892 A099893 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 29 2004 STATUS approved

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Last modified May 28 22:08 EDT 2022. Contains 354122 sequences. (Running on oeis4.)