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A090850 Clark's triangle with f=6 read by row. 1
0, 6, 1, 12, 7, 1, 18, 19, 8, 1, 24, 37, 27, 9, 1, 30, 61, 64, 36, 10, 1, 36, 91, 125, 100, 46, 11, 1, 42, 127, 216, 225, 146, 57, 12, 1, 48, 169, 343, 441, 371, 203, 69, 13, 1, 54, 217, 512, 784, 812, 574, 272, 82, 14, 1, 60, 271, 729, 1296, 1596, 1386, 846, 354, 96, 15, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Rows n = 0..100, flattened

Robert W. Donley Jr, Binomial arrays and generalized Vandermonde identities, arXiv:1905.01525 [math.CO], 2019.

Eric Weisstein's World of Mathematics, Clark's Triangle

FORMULA

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

EXAMPLE

Triangle starts

   0;

   6,  1;

  12,  7,  1;

  18, 19,  8,  1;

  ...

MATHEMATICA

Join[{0}, Rest[Flatten[Table[6*Binomial[n, k+1]+Binomial[n-1, k-1], {n, 0, 10}, {k, 0, n}]]]] (* Harvey P. Dale, Mar 29 2014 *)

PROG

(Python)

from operator import add

f = 6

A090850_list = blist = [0]

for _ in range(20):

....blist = [blist[0]+f]+list(map(add, blist[:-1], blist[1:]))+[1]

....A090850_list.extend(blist) # Chai Wah Wu, Sep 18 2014

CROSSREFS

Cf. A046902, A100206.

Sequence in context: A162933 A304252 A229085 * A163945 A013613 A122508

Adjacent sequences:  A090847 A090848 A090849 * A090851 A090852 A090853

KEYWORD

nonn,tabl

AUTHOR

Eric W. Weisstein, Dec 09 2003

STATUS

approved

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Last modified November 14 01:24 EST 2019. Contains 329108 sequences. (Running on oeis4.)