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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A144149 Weight array W={w(i,j)} of the Wythoff difference array A080164. 0
1, 1, 2, 3, 3, 1, 8, 8, 2, 2, 21, 21, 5, 3, 2, 55, 55, 13, 8, 3, 1, 144, 144, 34, 21, 8, 2, 2, 377, 377, 89, 55, 21, 5, 3, 1, 987, 987, 233, 144, 55, 13, 8, 2, 2, 2584, 2584, 610, 377, 144, 34, 21, 5, 3, 2, 6765, 6765, 1597, 987, 377, 89, 55, 13, 8, 3, 1, 17711, 17711, 4181 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

In general, let w(i,j) be the weight of the unit square labeled by its

northeast vertex (i,j) and for each (m,n), define

S(m,n)=SUM{SUM{w(i,j), i=1,2,...,m, j=1,2,...,n}.

Then S(m,n) is the weight of the rectangle [0,m]x[0,n]. We call W the weight

array of S and we call S the accumulation array of W. For the case at hand, S is

the Wythoff difference array, A080164.

LINKS

Table of n, a(n) for n=1..69.

FORMULA

row 1: 1 followed by A001906, except for initial 0

row n: A001519 (except for initial 1) is n is in 1+A001950

row n: A001906 (except for initial 0) if n is in 1+A000201.

EXAMPLE

S(2,4)=1+1+3+8+2+3+8+21=47.

CROSSREFS

A000045, A144112, A144148.

Sequence in context: A236937 A323748 A116155 * A097005 A068008 A123948

Adjacent sequences:  A144146 A144147 A144148 * A144150 A144151 A144152

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Sep 11 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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 26 10:18 EDT 2019. Contains 321491 sequences. (Running on oeis4.)