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Search: id:A101950
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| 1, 1, 1, 0, 2, 1, -1, 1, 3, 1, -1, -2, 3, 4, 1, 0, -4, -2, 6, 5, 1, 1, -2, -9, 0, 10, 6, 1, 1, 3, -9, -15, 5, 15, 7, 1, 0, 6, 3, -24, -20, 14, 21, 8, 1, -1, 3, 18, -6, -49, -21, 28, 28, 9, 1, -1, -4, 18, 36, -35, -84, -14, 48, 36, 10, 1, 0, -8, -4, 60, 50, -98, -126, 6, 75, 45, 11, 1, 1, -4, -30, 20, 145, 36, -210
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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A Chebyshev and Pascal product.
Row sums are n+1, diagonal sums the constant sequence 1. Riordan array (1/(1-x+x^2,x/(1-x+x^2)).
Apart from signs, identical with A104562.
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FORMULA
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Number triangle T(n, k) = sum{k=0..n, (-1)^((n-j)/2) C((n+j)/2, j)(1+(-1)^(n+j))C(j, k)/2}
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EXAMPLE
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Rows begin {1}, {1,1}, {0,2,1}, {-1,1,3,1}, { -1,-2,3,4,1},..
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CROSSREFS
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Cf. A104562.
Sequence in context: A138904 A135222 A124094 this_sequence A104562 A111603 A136178
Adjacent sequences: A101947 A101948 A101949 this_sequence A101951 A101952 A101953
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Dec 22 2004
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