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A275510
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Triangle read by rows, T(n,k) = floor(n/k) - 2*floor(n/(2*k)), for n>=2 and 2<=k<=n; additionally T(1,2) = 0.
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1
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0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1
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OFFSET
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1
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LINKS
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FORMULA
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Let cp(n) denote the cyclotomic polynomials then Product_{k=2..n} cp(k)^T(n, k) = q-factorial(n) / q-factorial(floor(n/2))^2 (cf. A274888).
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EXAMPLE
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The triangle starts:
[ n] [T(n,k),k=2,3,4,...] [row sum]
[ 1] [0] 0
[ 2] [1] 1
[ 3] [1, 1] 2
[ 4] [0, 1, 1] 2
[ 5] [0, 1, 1, 1] 3
[ 6] [1, 0, 1, 1, 1] 4
[ 7] [1, 0, 1, 1, 1, 1] 5
[ 8] [0, 0, 0, 1, 1, 1, 1] 4
[ 9] [0, 1, 0, 1, 1, 1, 1, 1] 6
[10] [1, 1, 0, 0, 1, 1, 1, 1, 1] 7
[11] [1, 1, 0, 0, 1, 1, 1, 1, 1, 1] 8
[12] [0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1] 7
[13] [0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1] 8
[14] [1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1] 9
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CROSSREFS
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KEYWORD
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nonn,tabf
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AUTHOR
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STATUS
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approved
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