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A117981
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A modified Legendre-binomial transform of 2^n for p=3.
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1
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1, 1, 7, 7, 7, 49, 73, 73, 511, 511, 511, 3577, 3577, 3577, 25039, 37303, 37303, 261121, 262657, 262657, 1838599, 1838599, 1838599, 12870193, 19173961, 19173961, 134217727, 134217727, 134217727, 939524089, 939524089
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OFFSET
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0,3
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COMMENTS
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a(3n) = a(3n+1) = a(3n+2)/7; a(3^k*n) = a(3^k*n+3^(k-1))/a(3^(k-1)) = a(3^k*n+2*3^(k-1))/a(2*3^(k-1)), k>0. a(3n) = A117982(n).
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LINKS
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FORMULA
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a(n) = Sum_{k=0..n} (-1)^(n-k)*L(C(n,k)/3)*2^k where L(j/p) is the Legendre symbol of j and p.
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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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