login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A178117 Inverse of coefficient array for polynomials P(n,x)=x*P(n-1,x)+floor(n^2/4)*P(n-2,x), P(0,x)=1,P(1,x)=x. 1
1, 0, 1, -1, 0, 1, 0, -3, 0, 1, 3, 0, -7, 0, 1, 0, 17, 0, -13, 0, 1, -17, 0, 69, 0, -22, 0, 1, 0, -155, 0, 201, 0, -34, 0, 1, 155, 0, -959, 0, 507, 0, -50, 0, 1, 0, 2073, 0, -4001, 0, 1107, 0, -70, 0, 1, -2073, 0, 18077, 0, -13964, 0, 2227, 0, -95, 0, 1, 0, -38227, 0, 101861, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

First column is the aerated Genocchi numbers A001469. Inverse is A178116.

LINKS

Table of n, a(n) for n=0..70.

EXAMPLE

Triangle begins

1,

0, 1,

-1, 0, 1,

0, -3, 0, 1,

3, 0, -7, 0, 1,

0, 17, 0, -13, 0, 1,

-17, 0, 69, 0, -22, 0, 1,

0, -155, 0, 201, 0, -34, 0, 1,

155, 0, -959, 0, 507, 0, -50, 0, 1,

0, 2073, 0, -4001, 0, 1107, 0, -70, 0, 1,

-2073, 0, 18077, 0, -13964, 0, 2227, 0, -95, 0, 1

Production matrix is

0, 1,

-1, 0, 1,

0, -2, 0, 1,

0, 0, -4, 0, 1,

0, 0, 0, -6, 0, 1,

0, 0, 0, 0, -9, 0, 1,

0, 0, 0, 0, 0, -12, 0, 1,

0, 0, 0, 0, 0, 0, -16, 0, 1,

0, 0, 0, 0, 0, 0, 0, -20, 0, 1

CROSSREFS

Sequence in context: A099174 A066325 A137297 * A095710 A216416 A291960

Adjacent sequences:  A178114 A178115 A178116 * A178118 A178119 A178120

KEYWORD

sign,tabl

AUTHOR

Paul Barry, May 20 2010

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 November 11 15:41 EST 2019. Contains 329017 sequences. (Running on oeis4.)