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Search: id:A087755
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| A087755 |
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Triangle formed by reading triangle of Stirling numbers of the first kind (A008275) mod 2. |
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+0
2
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| 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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Essentially also parity of Mitrinovic's triangles A049458, A049460, A051339, A051380.
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FORMULA
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T(n, k) = A087748(n, k) = A008275(n, k) mod 2 = A047999([n/2], k-[(n+1)/2]) = T(n-2, k-2) XOR T(n-2, k-1) with T(1, 1) = T(2, 1) = T(2, 2) = 1; T(2n, k) = T(2n-1, k-1) XOR T(2n-1, k); T(2n+1, k) = T(2n, k-1). - Henry Bottomley (se16(AT)btinternet.com), Dec 01 2003
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CROSSREFS
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Adjacent sequences: A087752 A087753 A087754 this_sequence A087756 A087757 A087758
Sequence in context: A130304 A118274 A080909 this_sequence A050072 A131309 A106510
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Oct 02 2003
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EXTENSIONS
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Edited and extended by Henry Bottomley (se16(AT)btinternet.com), Dec 01 2003
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