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!)
A014413 Triangular array formed from elements to right of middle of Pascal's triangle. 7
1, 1, 3, 1, 4, 1, 10, 5, 1, 15, 6, 1, 35, 21, 7, 1, 56, 28, 8, 1, 126, 84, 36, 9, 1, 210, 120, 45, 10, 1, 462, 330, 165, 55, 11, 1, 792, 495, 220, 66, 12, 1, 1716, 1287, 715, 286, 78, 13, 1, 3003, 2002, 1001, 364, 91, 14, 1, 6435, 5005, 3003, 1365, 455, 105, 15, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Reinhard Zumkeller, Rows n = 1..200 of triangle, flattened

EXAMPLE

1;

1;

3, 1;

4, 1;

10, 5, 1;

15, 6, 1;

35, 21, 7, 1;

56, 28, 8, 1;

126, 84, 36, 9, 1;

210, 120, 45, 10, 1;

462, 330, 165, 55, 11, 1;

792, 495, 220, 66, 12, 1.

PROG

(Haskell)

a014413 n k = a014413_tabf !! (n-1) !! (k-1)

a014413_row n = a014413_tabf !! (n-1)

a014413_tabf = [1] : f 1 [1] where

   f 0 us'@(_:us) = ys : f 1 ys where

                    ys = zipWith (+) us' (us ++ [0])

   f 1 vs@(v:_) = ys' : f 0 ys where

                  ys@(_:ys') = zipWith (+) (vs ++ [0]) ([v] ++ vs)

-- Reinhard Zumkeller, Dec 24 2015

CROSSREFS

Cf. A014462.

Cf. A007318, A034868, A034869, A265848.

Sequence in context: A300238 A180062 A079546 * A262072 A321743 A131632

Adjacent sequences:  A014410 A014411 A014412 * A014414 A014415 A014416

KEYWORD

tabf,nonn,easy

AUTHOR

Mohammad K. Azarian

EXTENSIONS

More terms from James A. Sellers

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 28 07:59 EDT 2020. Contains 333079 sequences. (Running on oeis4.)