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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

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Last modified January 20 10:58 EST 2020. Contains 331081 sequences. (Running on oeis4.)