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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A078924 Array of coefficients of characteristic polynomials of M_n, the n X n matrix with entries m_(i,j) = i mod j. 1
 1, -1, 0, 1, 0, 0, -1, 0, 2, 0, 1, 0, -5, -2, 0, -1, 0, 17, 47, 34, 0, 1, 0, -30, -105, -72, 36, 0, -1, 0, 63, 426, 1143, 1272, 468, 0, 1, 0, -103, -936, -3668, -7412, -8424, -3744, 0, -1, 0, 169, 2104, 11859, 35084, 55856, 52680, 33696, 0, 1, 0, -250, -3883, -28047, -109953, -228920 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS EXAMPLE The characteristic polynomials of M_0, M_1, ..., M_4 are 1, -x + 0, x^2 + 0x + 0, -x^3 + 0x^2 + 2x + 0 and x^4 +0 x^3 - 5x^2 - 2x + 0, so the first 15 terms are 1; -1,0; 1,0,0; -1,0,2,0; 1,0,-5,-2,0. MATHEMATICA c[0]={1}; c[n_] := Reverse[CoefficientList[CharacteristicPolynomial[Table[Mod[i, j], {i, 1, n}, {j, 1, n}], x], x]]; Flatten[c/@Range[0, 10]] CROSSREFS Sequence in context: A128890 A196777 A318361 * A229141 A137526 A137525 Adjacent sequences:  A078921 A078922 A078923 * A078925 A078926 A078927 KEYWORD sign,tabl,easy 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.

Last modified September 27 22:36 EDT 2020. Contains 337388 sequences. (Running on oeis4.)