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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A239287 Triangle T(n,k), 0 <= k <= n, read by rows: T(n,k) = floor(n/2) - min(k,n-k). 1
0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 3, 2, 1, 0, 1, 2, 3, 3, 2, 1, 0, 0, 1, 2, 3, 4, 3, 2, 1, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 5, 4, 3, 2, 1, 0, 1, 2 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,11

COMMENTS

Row sums are A110660(n).

LINKS

G. C. Greubel, Rows, n=0..100 of triangle, flattened

FORMULA

T(n,k) = floor(n/2) - min(k,n-k).

EXAMPLE

Triangle begins:

0;

0, 0;

1, 0, 1;

1, 0, 0, 1;

2, 1, 0, 1, 2;

2, 1, 0, 0, 1, 2;

3, 2, 1, 0, 1, 2, 3;

3, 2, 1, 0, 0, 1, 2, 3;

4, 3, 2, 1, 0, 1, 2, 3, 4;

4, 3, 2, 1, 0, 0, 1, 2, 3, 4;

5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5;

5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5;

6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6;

6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6;

7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7;

7, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 7;

8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8;

8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8;

9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9;

9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9;

MATHEMATICA

Column[Table[Floor[n/2] - Min[k, n - k], {n, 0, 19}, {k, 0, n}]] (* Indranil Ghosh, Mar 15 2017 *)

PROG

(PARI) tabl(nn) = {for(n=0, nn, for(k=0, n, print1(floor(n/2) - min(k, n - k), ", "); ); print(); ); };

tabl(19); \\ Indranil Ghosh, Mar 15 2017

(Python)

i=0

for n in range(0, 20):

....for k in range(0, n+1):

........print str(i)+" "+str((n/2) - min(k, n - k))

........i+=1 # Indranil Ghosh, Mar 15 2017

(MAGMA) [[Floor(n/2) - Min(k, n-k): k in [0..n]]: n in [0..10]]; // G. C. Greubel, May 26 2018

CROSSREFS

Cf. A004526.

Sequence in context: A209318 A170984 A114021 * A305258 A053616 A094718

Adjacent sequences:  A239284 A239285 A239286 * A239288 A239289 A239290

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Mar 14 2014

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 February 20 22:51 EST 2019. Contains 320362 sequences. (Running on oeis4.)