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

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A201090 Number of -n..n arrays of 5 elements with first and second differences also in -n..n 1
47, 537, 2771, 9593, 25935, 59533, 121371, 226521, 394443, 649989, 1023515, 1552101, 2279419, 3257221, 4544919, 6211381, 8334179, 11001745, 14312231, 18376077, 23314439, 29262209, 36365967, 44787505, 54701247, 66298329, 79783443 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Row 5 of A201088

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) +2*a(n-2) -5*a(n-3) -2*a(n-4) +4*a(n-5) +4*a(n-6) -2*a(n-7) -5*a(n-8) +2*a(n-9) +2*a(n-10) -a(n-11).

Empirical: -x*(-47 -443*x -1603*x^2 -3212*x^3 -3986*x^4 -3218*x^5 -1606*x^6 -436*x^7 -47*x^8 -3*x^9 +x^10) / ( (1+x+x^2)*(1+x)^3*(x-1)^6 ). - R. J. Mathar, Nov 27 2011

EXAMPLE

Some solutions for n=6

..0....1....3....5....2...-1....6...-2...-1...-4....5....2....6....5....4....5

..4....0....0....2....3...-2....3....0...-5...-4....0...-3....0....2....2....1

..5...-1....0...-3...-1...-4....0...-1...-6...-6....0...-3...-2....1....1...-2

..2....3...-3...-4....1...-2....2...-1...-3...-4....0....1...-3....4...-3...-1

.-4....4...-4...-1....6...-6....5....1....1....0....0....5...-1....5...-2....4

CROSSREFS

Sequence in context: A106104 A009086 A034779 * A116146 A142253 A142577

Adjacent sequences:  A201087 A201088 A201089 * A201091 A201092 A201093

KEYWORD

nonn

AUTHOR

R. H. Hardin Nov 26 2011

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 December 7 14:52 EST 2016. Contains 278877 sequences.