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A099888 XOR BINOMIAL transform of the powers of 3. 1
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; refs; listen; history; text; internal format)
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

Table of n, a(n) for n=0..25.

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

Cf. A099884, A099887.

Sequence in context: A098232 A195798 A100736 * A249308 A199043 A046161

Adjacent sequences:  A099885 A099886 A099887 * A099889 A099890 A099891

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 29 2004

STATUS

approved

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Last modified October 21 06:03 EDT 2018. Contains 316405 sequences. (Running on oeis4.)