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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144966 Square array T(n,k) read by antidiagonals up. A055615 interleaved with k-1 zeros in each column. Redheffer type matrix. 0
1, -2, 1, -3, 1, 1, 0, 0, 0, 1, -5, -2, 1, 0, 1, 6, 0, 0, 0, 0, 1, -7, -3, 0, 1, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1, -11, -5, -3, -2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, -13, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 14, 0, 0, 0, -2, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Determinant of this array appears to be the triangular numbers. The number of permutations that contribute to the result of the zero corner determinant that give the natural numbers, appears to be given by A002033.

LINKS

Table of n, a(n) for n=1..97.

EXAMPLE

Determinant of:

1

is equal to 1.

Determinant of:

1,1

-2,0

is equal to 2.

Determinant of:

1,1,1

-2,1,0

-3,0,0

is equal to 3.

Determinant of:

1,1,1,1

-2,1,0,0

-3,0,1,0

0,-2,0,0

is equal to 4.

Determinant of:

1,1,1,1,1

-2,1,0,0,0

-3,0,1,0,0

0,-2,0,1,0

-5,0,0,0,0

is equal to 5.

Determinant of:

1,1,1,1,1,1

-2,1,0,0,0,0

-3,0,1,0,0,0

0,-2,0,1,0,0

-5,0,0,0,1,0

6,-3,-2,0,0,0

is equal to 6.

PROG

(Excel) =if(mod(row(); column())=0; lookup(row()/column(); A000027; A055615); if(row()=1; 1; 0))

CROSSREFS

Cf. A143104, A143142.

Sequence in context: A172038 A226131 A199056 * A119805 A111957 A125168

Adjacent sequences:  A144963 A144964 A144965 * A144967 A144968 A144969

KEYWORD

sign,tabl

AUTHOR

Mats Granvik, Sep 27 2008

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 16 05:44 EDT 2018. Contains 316259 sequences. (Running on oeis4.)