A157981 - OEIS

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A157981

Triangle: r=23;l=7;m(r,l,n)=(r - l)*IdentityMatrix[n] + l*Table[1, {i, 1, n}, {j, 1, n}].

1, 23, -1, 480, -46, 1, 9472, -1440, 69, -1, 180224, -37888, 2880, -92, 1, 3342336, -901120, 94720, -4800, 115, -1, 60817408, -20054016, 2703360, -189440, 7200, -138, 1, 1090519040, -425721856, 70189056, -6307840, 331520, -10080, 161, -1

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..35.

EXAMPLE

{1},

{23, -1},

{480, -46, 1},

{9472, -1440, 69, -1},

{180224, -37888, 2880, -92, 1},

{3342336, -901120, 94720, -4800, 115, -1},

{60817408, -20054016, 2703360, -189440, 7200, -138, 1},

{1090519040, -425721856, 70189056, -6307840, 331520, -10080, 161, -1},...

MATHEMATICA

M[r_, l_, n_] := (r - l)*IdentityMatrix[n] + l*Table[1, {i, 1, n}, {j, 1, n}];

r = 23; l = 7;

Join[{1}, Table[Expand[CharacteristicPolynomial[M[r, l, n], x]], {n, 1, 10}]];

a = Join[{{1}}, Table[CoefficientList[Expand[CharacteristicPolynomial[M[r, l, n], x]], x], {n, 1, 10}]];

Flatten[a]

CROSSREFS

Sequence in context: A069890 A040550 A040551 * A040523 A040522 A040521

Adjacent sequences: A157978 A157979 A157980 * A157982 A157983 A157984

KEYWORD

sign,tabl,uned,less

AUTHOR

Roger L. Bagula, Mar 10 2009

STATUS

approved