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A078665 Maximum absolute value of coefficients of characteristic polynomial of M_n, the n X n matrix m_(i,j) = i mod j. 0
1, 1, 2, 5, 47, 105, 1272, 8424, 55856, 388800, 6592492, 37965600, 1573051680, 10106845824, 145938179520, 2694653982720, 18948491739696, 267048208800000, 23293245955795200, 466687809894297600, 3372079713556377600 (list; graph; refs; listen; history; internal format)
OFFSET

1,3

EXAMPLE

Characteristic polynomial of M_4 is x^4 - 5*x^2 - 2*x^1 + 0*x^0.

MATHEMATICA

a[n_] := Max@@Abs/@CoefficientList[CharacteristicPolynomial[Table[Mod[i, j], {i, n}, {j, n}], x], x]

CROSSREFS

Cf. A078924.

Sequence in context: A119715 A023273 A041729 * A163666 A093552 A112266

Adjacent sequences:  A078662 A078663 A078664 * A078666 A078667 A078668

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Dec 15 2002

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Last modified February 17 06:27 EST 2012. Contains 205998 sequences.