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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046902 Clark's triangle: left border = 0 1 1 1..., right border = multiples of 6; other entries = sum of 2 entries above. 4
0, 1, 6, 1, 7, 12, 1, 8, 19, 18, 1, 9, 27, 37, 24, 1, 10, 36, 64, 61, 30, 1, 11, 46, 100, 125, 91, 36, 1, 12, 57, 146, 225, 216, 127, 42, 1, 13, 69, 203, 371, 441, 343, 169, 48, 1, 14, 82, 272, 574, 812, 784, 512, 217, 54, 1, 15, 96, 354, 846, 1386, 1596, 1296, 729, 271 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

J. E. Clark, Clark's triangle, Math. Student, 26 (No. 2, 1978), p. 4.

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..10000

Weisstein, Eric W. Clark's Triangle. MathWorld.

FORMULA

c(n, k) = 6*binomial(n, k-1) + binomial(n-1, k). - Max Alekseyev, Nov 06 2005

EXAMPLE

0;

1 6;

1 7 12;

1 8 19 18;

...

MATHEMATICA

Join[{0}, Flatten[Table[6*Binomial[n, k-1]+Binomial[n-1, k], {n, 10}, {k, 0, n}]]] (* Harvey P. Dale, Nov 04 2012 *)

PROG

(Haskell)

a046902 n k = a046902_tabl !! n !! k

a046902_row n = a046902_tabl !! n

a046902_tabl = [0] : iterate

               (\row -> zipWith (+) ([0] ++ row) (row ++ [6])) [1, 6]

-- Reinhard Zumkeller, Dec 26 2012

CROSSREFS

Cf. A100206.

Cf. A185080 (central terms).

Sequence in context: A274014 A082830 A261622 * A204205 A143019 A156921

Adjacent sequences:  A046899 A046900 A046901 * A046903 A046904 A046905

KEYWORD

nonn,easy,tabl,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Apr 07 2000

More terms from Max Alekseyev, May 12 2005

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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 22 05:52 EST 2018. Contains 317453 sequences. (Running on oeis4.)