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

 

Logo

Thanks to everyone who made a donation during our annual appeal!
To see the list of donors, or make a donation, see the OEIS Foundation home page.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A238339 Square number array T(n,k) = (2*n^(k+1)-n-1)/(n-1), read by antidiagonals. 0
1, 1, 1, 1, 3, 1, 1, 5, 5, 1, 1, 7, 13, 7, 1, 1, 9, 25, 29, 9, 1, 1, 11, 41, 79, 61, 11, 1, 1, 13, 61, 169, 241, 125, 13, 1, 1, 15, 85, 311, 681, 727, 253, 15, 1, 1, 17, 113, 517, 1561, 2729, 2185, 509, 17, 1, 1, 19, 145, 799, 3109, 7811, 10921, 6559, 1021, 19, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..65.

FORMULA

T(0,k) = A000012(k) = 1;

T(1,k) = A005408(k) = 2k+1;

T(2,k) = A036563(k+2);

T(3,k) = A058481(k+1);

T(4,k) = A083584(k);

T(5,k) = A137410(k);

T(6,k) = A233325(k);

T(7,k) = A233326(k);

T(8,k) = A233328(k);

T(9,k) = A211866(k+1);

T(10,k) = A165402(k+1);

T(n,0) = A000012(n) = 1;

T(n,1) = A005408(n) = 2*n+1;

T(n,2) = A001844(n) = 2*n^2 + 2*n + 1.

EXAMPLE

Square array begins:

1..1...1.....1......1.......1........1........1...

1..3...5.....7......9......11.......13.......15...

1..5..13....29.....61.....125......253......509...

1..7..25....79....241.....727.....2185.....6559...

1..9..41...169....681....2729....10921....43689...

1.11..61...311...1561....7811....39061...195311...

1.13..85...517...3109...18661...111973...671845...

1.15.113...799...5601...39215...274513..1921599...

1.17.145..1169...9361...74897...599185..4793489...

1.19.181..1639..14761..132859..1195741.10761679...

1.21.221..2221..22221..222221..2222221.22222221...

CROSSREFS

Cf. A238303

Sequence in context: A277930 A026714 A008288 * A302997 A144461 A106597

Adjacent sequences:  A238336 A238337 A238338 * A238340 A238341 A238342

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Feb 24 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 January 17 10:30 EST 2019. Contains 319218 sequences. (Running on oeis4.)