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Search: id:A079628
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| A079628 |
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Array of coefficients of P(n,x) = det (M(n,x)) where M(n,x) is the n X n matrix m(i,j)=x if i>j m(i,j)=1-x if i<=j. |
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4
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| 1, 1, -1, 1, -3, 2, 1, -5, 8, -4, 1, -7, 18, -20, 8, 1, -9, 32, -56, 48, -16, 1, -11, 50, -120, 160, -112, 32, 1, -13, 72, -220, 400, -432, 256, -64, 1, -15, 98, -364, 840, -1232, 1120, -576, 128, 1, -17, 128, -560, 1568, -2912, 3584, -2816, 1280, -256, 1, -19, 162, -816, 2688, -6048, 9408, -9984, 6912, -2816, 512, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Formatted as a triangular array, this is [1, 0, 0, 0, 0, 0, 0, ...] DELTA [ -1, -1, 0, 0, 0, 0, 0, 0, ...] (see construction in A084938) . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Aug 09 2005
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FORMULA
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P(n, x)=(x-1)*(2*x-1)^(n-1)
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EXAMPLE
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det(M(4,x))=1-7x+18x^2-20x^3+8x^4
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CROSSREFS
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Cf. A081277.
Sequence in context: A073370 A129675 A081277 this_sequence A140287 A077951 A077976
Contribution from Johannes W. Meijer (meijgia(AT)hotmail.com), Nov 23 2009: (Start)
Cf. A167580 and A167591.
(End)
Adjacent sequences: A079625 A079626 A079627 this_sequence A079629 A079630 A079631
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KEYWORD
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sign,tabl
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AUTHOR
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Benoit Cloitre (benoit7848c(AT)orange.fr), Jan 30 2003
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