login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A323663 Square array A(n,k), n >= 1, k >= 1, read by antidiagonals, where A(n,k) is Sum_{j=1..n} binomial(j*k, k). 2
1, 1, 3, 1, 7, 6, 1, 21, 22, 10, 1, 71, 105, 50, 15, 1, 253, 566, 325, 95, 21, 1, 925, 3256, 2386, 780, 161, 28, 1, 3433, 19489, 18760, 7231, 1596, 252, 36, 1, 12871, 119713, 154085, 71890, 17857, 2926, 372, 45, 1, 48621, 748342, 1303753, 747860, 214396, 38332, 4950, 525, 55 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Seiichi Manyama, Antidiagonals n = 1..140, flattened

EXAMPLE

Square array begins:

    1,   1,    1,     1,       1,        1, ...

    3,   7,   21,    71,     253,      925, ...

    6,  22,  105,   566,    3256,    19489, ...

   10,  50,  325,  2386,   18760,   154085, ...

   15,  95,  780,  7231,   71890,   747860, ...

   21, 161, 1596, 17857,  214396,  2695652, ...

   28, 252, 2926, 38332,  539028,  7941438, ...

   36, 372, 4950, 74292, 1197036, 20212950, ...

CROSSREFS

Columns 1-3 give A000217, A002412, A116689.

Rows 1-3 give A000012, A244174, A029848.

Main diagonal is A096131.

Cf. A060539.

Sequence in context: A321163 A054458 A110168 * A205298 A046913 A118228

Adjacent sequences:  A323660 A323661 A323662 * A323664 A323665 A323666

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Jan 23 2019

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 April 14 12:11 EDT 2021. Contains 342949 sequences. (Running on oeis4.)