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A114283 Sequence array for binomial transform of Jacobsthal numbers A001045(n+1). 3
1, 2, 1, 6, 2, 1, 18, 6, 2, 1, 54, 18, 6, 2, 1, 162, 54, 18, 6, 2, 1, 486, 162, 54, 18, 6, 2, 1, 1458, 486, 162, 54, 18, 6, 2, 1, 4374, 1458, 486, 162, 54, 18, 6, 2, 1, 13122, 4374, 1458, 486, 162, 54, 18, 6, 2, 1, 39366, 13122, 4374, 1458, 486, 162, 54, 18, 6, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sequence array for A025192. Row sums are 3^n, A000244. Diagonal sums are A015518(n+1). Inverse is A114284.

LINKS

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

FORMULA

Riordan array ((1-x)/(1-3x), x).

EXAMPLE

Triangle begins

1;

2,1;

6,2,1;

18,6,2,1;

54,18,6,2,1;

162,54,18,6,2,1;

PROG

(Haskell)

a114283 n k = a114283_tabl !! n !! k

a114283_row n = a114283_tabl !! n

a114283_tabl = iterate

   (\row -> (sum $ zipWith (+) row $ reverse row) : row) [1]

-- Reinhard Zumkeller, Nov 27 2012

CROSSREFS

Sequence in context: A103881 A101024 A124730 * A106187 A110135 A114423

Adjacent sequences:  A114280 A114281 A114282 * A114284 A114285 A114286

KEYWORD

easy,nonn,tabl

AUTHOR

Paul Barry, Nov 20 2005

STATUS

approved

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Last modified August 21 12:01 EDT 2017. Contains 290864 sequences.