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!)
A117335 Matrix inverse of triangle A117334. 4
1, 1, 1, 1, -1, 1, 1, 6, -4, 1, 1, -27, 24, -8, 1, 1, 164, -157, 66, -13, 1, 1, -1133, 1176, -571, 146, -19, 1, 1, 8930, -9853, 5335, -1621, 281, -26, 1, 1, -78739, 91498, -53989, 18635, -3909, 491, -34, 1, 1, 768276, -933451, 591157, -225490, 54430, -8382, 799, -43, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

Table of n, a(n) for n=0..54.

EXAMPLE

Triangle begins:

1;

1,1;

1,-1,1;

1,6,-4,1;

1,-27,24,-8,1;

1,164,-157,66,-13,1;

1,-1133,1176,-571,146,-19,1;

1,8930,-9853,5335,-1621,281,-26,1;

1,-78739,91498,-53989,18635,-3909,491,-34,1;

1,768276,-933451,591157,-225490,54430,-8382,799,-43,1; ...

Matrix inverse yields A117334:

1;

-1,1;

-2,1,1;

-3,-2,4,1;

-4,-13,8,8,1;

-5,-44,-3,38,13,1;

-6,-123,-117,125,101,19,1;

-7,-314,-718,205,594,213,26,1; ...

in which column k+1 is the Binomial transform of column k

preceded by a zero (includes the k zeros above diagonal):

column 1 = BINOMIAL[0, 1,-1,-2,-3,-4,-5,...]

= [0,1,1,-2,-13,-44,-123,-314,-761,...];

column 2 = BINOMIAL[0, 0,1,1,-2,-13,-44,-123,-314,...]

= [0,0,1,4,8,-3,-117,-718,-3314,...].

CROSSREFS

Cf. A117334 (inverse), A117336 (column 1), A117337 (column 2), A117338 (row sums).

Sequence in context: A199391 A106333 A104748 * A319555 A244980 A021863

Adjacent sequences:  A117332 A117333 A117334 * A117336 A117337 A117338

KEYWORD

sign,tabl

AUTHOR

Paul D. Hanna, Mar 09 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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 18 12:21 EDT 2021. Contains 345104 sequences. (Running on oeis4.)