login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A292789 Triangle read by rows: T(n,k) = (-3)*T(n-1,k-1) + T(n,k-1) with T(2*m,0) = 0 and T(2*m+1,0) = (-2)^m. 3
0, 1, 1, 0, -3, -6, -2, -2, 7, 25, 0, 6, 12, -9, -84, 4, 4, -14, -50, -23, 229, 0, -12, -24, 18, 168, 237, -450, -8, -8, 28, 100, 46, -458, -1169, 181, 0, 24, 48, -36, -336, -474, 900, 4407, 3864, 16, 16, -56, -200, -92, 916, 2338, -362, -13583, -25175, 0, -48 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Seiichi Manyama, Rows n = 0..139, flattened

FORMULA

T(n+1,n)^2 + 2*T(n,n)^2 = 11^n.

EXAMPLE

First few rows are:

0;

1, 1;

0, -3, -6;

-2, -2, 7, 25;

0, 6, 12, -9, -84;

4, 4, -14, -50, -23, 229;

0, -12, -24, 18, 168, 237, -450;

-8, -8, 28, 100, 46, -458, -1169, 181;

0, 24, 48, -36, -336, -474, 900, 4407, 3864.

--------------------------------------------------------------

The diagonal is {0, 1, -6, 25, -84, ...} and

the next diagonal is {1, -3, 7, -9, -23, ...}.

Two sequences have the following property:

1^2 + 2* 0^2 = 1 (= 11^0),

(-3)^2 + 2* 1^2 = 11 (= 11^1),

7^2 + 2* (-6)^2 = 121 (= 11^2),

(-9)^2 + 2* 25^2 = 1331 (= 11^3),

(-23)^2 + 2*(-84)^2 = 14641 (= 11^4),

...

CROSSREFS

T(n,k) = b*T(n-1,k-1) + T(n,k-1): this sequence (b=-3), A292495 (b=-2), A117918 and A228405 (b=1), A227418 (b=2), A292466 (b=4).

Sequence in context: A120907 A133358 A058099 * A124085 A132120 A021280

Adjacent sequences: A292786 A292787 A292788 * A292790 A292791 A292792

KEYWORD

sign,tabl

AUTHOR

Seiichi Manyama, Sep 23 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 3 21:17 EST 2023. Contains 360045 sequences. (Running on oeis4.)