login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..21.

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: A326965 A023273 A041729 * A163666 A093552 A060808

Adjacent sequences:  A078662 A078663 A078664 * A078666 A078667 A078668

KEYWORD

nonn

AUTHOR

Benoit Cloitre, Dec 15 2002

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified August 6 18:59 EDT 2020. Contains 336256 sequences. (Running on oeis4.)