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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. +0
3
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; listen)
OFFSET

0,3

REFERENCES

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

FORMULA

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

EXAMPLE

0; 1 6; 1 7 12; 1 8 19 18;...

CROSSREFS

Cf. A100206.

Sequence in context: A131231 A110942 A082830 this_sequence A143019 A156921 A094214

Adjacent sequences: A046899 A046900 A046901 this_sequence A046903 A046904 A046905

KEYWORD

nonn,easy,tabl,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

EXTENSIONS

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

More terms from Max Alekseyev (maxale(AT)gmail.com), May 12 2005

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Last modified November 22 15:28 EST 2009. Contains 167310 sequences.


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