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A159856
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Triangle read by rows : T(n,0)=n+1, T(n,k)=2*T(n-1,k)-T(n-1,k-1), T(n,k)=0 if k>n and if k<0 .
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1
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1, 2, -1, 3, -4, 1, 4, -11, 6, -1, 5, -26, 23, -8, 1, 6, -57, 72, -39, 10, -1, 7, -120, 201, -150, 59, -12, 1, 8, -247, 522, -501, 268, -83, 14, -1, 9, -502, 1291, -1524, 1037, 434, 111, -16, 1, 10, -1013, 3084, -4339, 3598, -1905, 656, -143, 18, -1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| A Riordan array - see the Luzon references.
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REFERENCES
| Ana Luzon, Iterative Processes Related to Riordan Arrays: The Reciprocation and the Inversion of Power Series, arXiv:0907.2328; Discrete Math., 310 (2010), 3607-3618.
Luzon, Ana and Moron, Manuel A., Riordan matrices in the reciprocation of quadratic polynomials. Linear Algebra Appl. 430 (2009), no. 8-9, 22542270.
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FORMULA
| Sum_{k=0..n} T(n,k) = A080956(n). Conjecture: sum_{i=0..n} |T(n,k)|=A047926(n). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 31 2009]
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EXAMPLE
| Triangle begins 1
2 -1
3 -4 1
4 -11 6 -1
5 -26 23 -8 1
6 -57 72 -39 10 -1
7 -120 201 -150 59 -12 1
...
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CROSSREFS
| Cf. A181690.
Sequence in context: A104711 A133112 A198060 * A137649 A180915 A104002
Adjacent sequences: A159853 A159854 A159855 * A159857 A159858 A159859
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KEYWORD
| easy,sign,tabl
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AUTHOR
| Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 24 2009
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