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!)
A167568 A triangle related to the GF(z) formulas of the rows of the ED2 array A167560. 3
1, 0, 2, 2, -2, 6, 0, 16, -16, 24, 24, -48, 144, -120, 120, 0, 432, -864, 1392, -960, 720, 720, -2160, 8208, -12816, 14448, -8400, 5040, 0, 23040, -69120, 149760, -184320, 161280, -80640, 40320, 40320, -161280, 760320, -1716480, 2684160, -2695680 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The GF(z) formulas given below correspond to the first ten rows of the ED2 array A167560. The polynomials in their numerators lead to the triangle given above.

LINKS

Table of n, a(n) for n=1..42.

EXAMPLE

Row 1: GF(z) = 1/(1-z).

Row 2: GF(z) = 2/(1-z)^2.

Row 3: GF(z) = (2*z^2 - 2*z + 6)/(1-z)^3.

Row 4: GF(z) = (0*z^3 + 16*z^2 - 16*z + 24)/(1-z)^4.

Row 5: GF(z) = (24*z^4 - 48*z^3 + 144*z^2 - 120*z + 120)/(1-z)^5.

Row 6: GF(z) = (432*z^4 - 864*z^3 + 1392*z^2 - 960*z + 720)/(1-z)^6.

Row 7: GF(z) = (720*z^6 - 2160*z^5 + 8208*z^4 - 12816*z^3 + 14448*z^2 - 8400*z + 5040)/(1-z)^7.

Row 8: GF(z) = (0*z^7 + 23040*z^6 - 69120*z^5 + 149760*z^4 - 184320*z^3 + 161280*z^2 - 80640*z + 40320)/(1-z)^8.

Row 9: GF(z) = (40320*z^8 - 161280*z^7 + 760320*z^6 - 1716480*z^5 + 2684160*z^4 - 2695680*z^3 + 1935360*z^2 - 846720*z + 362880)/(1-z)^9.

Row 10: GF(z) = (0*z^9 + 2016000*z^8 - 8064000*z^7 + 22464000*z^6 - 39168000*z^5 + 48360960*z^4 - 40849920*z^3 + 24917760*z^2 - 9676800*z + 3628800)/(1-z)^10.

CROSSREFS

A167560 is the ED2 array.

A005359 equals the first left hand column.

A000142(n=>1) and 2*A005990 equal the first two right hand columns.

A000142(n=>1) equals the row sums.

Sequence in context: A079443 A270380 A241460 * A240501 A278251 A286847

Adjacent sequences:  A167565 A167566 A167567 * A167569 A167570 A167571

KEYWORD

sign,tabl

AUTHOR

Johannes W. Meijer, Nov 10 2009

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 14 19:09 EDT 2020. Contains 336483 sequences. (Running on oeis4.)