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A100736
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Inverse modulo 2 binomial transform of 3^n.
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1
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1, 2, 8, 16, 80, 160, 640, 1280, 6560, 13120, 52480, 104960, 524800, 1049600, 4198400, 8396800, 43046720, 86093440, 344373760, 688747520, 3443737600, 6887475200, 27549900800, 55099801600, 282386483200, 564772966400
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OFFSET
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0,2
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COMMENTS
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3^n may be retrieved as Sum_{k=0..n} (binomial(n,k) mod 2)*A100736(k).
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} (-1)^A010060(n-k)*(binomial(n, k) mod 2)*3^k.
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PROG
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(PARI) a(n)=abs(sum(k=0, n, (-1)^(hammingweight(k)%2)* lift(Mod(binomial(n, k), 2))*3^k)) \\ Jianing Song, Jan 27 2019
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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