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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162516 Triangle of coefficients of polynomials defined by Binet form: P(n,x) = (U^n+L^n)/2, where U=x+d, L=x-d, d=(x+4)^(1/2). 4
1, 1, 0, 1, 1, 4, 1, 3, 12, 0, 1, 6, 25, 8, 16, 1, 10, 45, 40, 80, 0, 1, 15, 75, 121, 252, 48, 64, 1, 21, 119, 287, 644, 336, 448, 0, 1, 28, 182, 588, 1457, 1360, 1888, 256, 256, 1, 36, 270, 1092, 3033, 4176, 6240, 2304, 2304, 0, 1, 45, 390, 1890, 5925, 10801, 17780 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

For fixed k, the sequences P(n,k), for n=1,2,3,4,5, are

A084057, A084059, A146963, A081342, A081342, respectively.

LINKS

Table of n, a(n) for n=1..62.

FORMULA

P(n,x)=2x*P(n-1,x)-(x^2-x-4)*P(n-2,x).

EXAMPLE

First six rows:

1

1...0

1...1...4

1...3...12...0

1...6...25...8...16

1...10..48...40..80...0

CROSSREFS

A162514, A162515, A162517.

Sequence in context: A093735 A298918 A156224 * A193793 A301510 A085471

Adjacent sequences:  A162513 A162514 A162515 * A162517 A162518 A162519

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Jul 05 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 January 21 17:55 EST 2019. Contains 319349 sequences. (Running on oeis4.)