A269722 Triangle read by rows: coefficients of polynomials arising as traces of certain web-coloring matrices.

1, 2, 2, 6, 8, 6, 24, 30, 42, 24, 120, 116, 216, 264, 120, 720, 532, 1002, 1920, 1920, 720, 5040, 2848, 4626, 11688, 19200, 15840, 5040

Offset

1,2

Links

Table of n, a(n) for n=1..28.

Mark Dukes, Chris D. White, Web Matrices: Structural Properties and Generating Combinatorial Identities, arXiv:1603.01589 [math.CO], 2016. See Fig. 7 p. 19.

Mark Dukes, Chris D. White, Web Matrices: Structural Properties and Generating Combinatorial Identities, Electronic Journal Of Combinatorics, 23(1) (2016), #P1.45.

Example

Triangle begins:
     1
     2    2
     6    8    6
    24   30   42    24
   120  116  216   264   120
   720  532 1002  1920  1920   720
  5040 2848 4626 11688 19200 15840 5040
  ...

Crossrefs

Outer diagonals are A000142. Another diagonal is A121635.

Cf. A281351.

Sequence in context: A116542 A231131 A142243 * A091441 A269565 A334518

Adjacent sequences: A269719 A269720 A269721 * A269723 A269724 A269725

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Mar 04 2016

Status

approved