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!)
 A126353 Triangle read by rows: matrix product of the Stirling numbers of the first kind with the binomial coefficients. 4
 1, 1, 0, 1, -1, 1, 1, -3, 5, -2, 1, -6, 17, -20, 9, 1, -10, 45, -100, 109, -44, 1, -15, 100, -355, 694, -689, 265, 1, -21, 196, -1015, 3094, -5453, 5053, -1854, 1, -28, 350, -2492, 10899, -29596, 48082, -42048, 14833 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 COMMENTS Many well-known integer sequences arise from such a matrix product of combinatorial coefficients. In the present case we have as the first row A000166 = subfactorial or rencontres numbers, or derangements: number of permutations of n elements with no fixed points. LINKS FORMULA (In Maple notation:) Matrix product B.A of matrix A[i,j]:=binomial(j-1,i-1) with i = 1 to p+1, j = 1 to p+1, p=8 and of matrix B[i,j]:=stirling1(j,i) with i from 1 to d, j from 1 to d, d=9. EXAMPLE Matrix begins: 1 0 1 -2 9 -44 265 -1854 14833 0 1 -1 5 -20 109 -689 5053 -42048 0 0 1 -3 17 -100 694 -5453 48082 0 0 0 1 -6 45 -355 3094 -29596 0 0 0 0 1 -10 100 -1015 10899 0 0 0 0 0 1 -15 196 -2492 0 0 0 0 0 0 1 -21 350 0 0 0 0 0 0 0 1 -28 0 0 0 0 0 0 0 0 1 CROSSREFS Signed version of A094791 [from Olivier Gérard, Jul 31 2011] Cf. A039810, A039814, A126350, A126351, A054654. Sequence in context: A282194 A308180 A329633 * A094791 A243524 A272300 Adjacent sequences:  A126350 A126351 A126352 * A126354 A126355 A126356 KEYWORD tabl,sign AUTHOR Thomas Wieder, Dec 29 2006 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 April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)