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Search: id:A156290
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| A156290 |
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Triangle read by rows: alternating binomial coefficients in the closed form expression for sequence A156289 |
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+0
2
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| 1, -4, 1, 15, -6, 1, -56, 28, -8, 1, 210, -120, 45, -10, 1, -792, 495, -220, 66, -12, 1, 3003, -2002, 1001, -364, 91, -14, 1, -11440, 8008, -4368, 1820, -560, 120, -16, 1, 43758, -31824, 18564, -8568, 3060, -816, 153, -18, 1, -167960, 125970, -77520
(list; table; graph; listen)
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OFFSET
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1,2
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FORMULA
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R(k,j)=(-1)^(k+j)*Binomial(2k,k+j), for 1<= j<=k, and 0 otherwise
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EXAMPLE
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R(2,1)=-4, R(3,3)=1, R(4,2)=28
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MATHEMATICA
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R[m_] := Flatten[Table[(-1)^(k + j) Binomial[2 k, k + j], {k, 1, m}, {j, 1, k}]]
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CROSSREFS
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coefficient factor in elements of sequence A156289 inverse of lower triangular matrix A156308
Sequence in context: A016115 A164794 A107873 this_sequence A080419 A095307 A159764
Adjacent sequences: A156287 A156288 A156289 this_sequence A156291 A156292 A156293
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KEYWORD
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easy,sign,tabl
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AUTHOR
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Hartmut F. W. Hoeft (hhoft(AT)emich.edu), Feb 07 2009
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