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A247023 Riordan array (1/(1-2*x), x*C(x)) where C(x) is the o.g.f. of Catalan numbers A000108. 2
1, 2, 1, 4, 3, 1, 8, 8, 4, 1, 16, 21, 13, 5, 1, 32, 56, 40, 19, 6, 1, 64, 154, 122, 66, 26, 7, 1, 128, 440, 376, 222, 100, 34, 8, 1, 256, 1309, 1181, 741, 365, 143, 43, 9, 1, 512, 4048, 3792, 2483, 1302, 561, 196, 53, 10, 1, 1024, 12958, 12446, 8398, 4606 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are A014318.

Mirror image of the triangle in A201634.

LINKS

Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened

FORMULA

T(n,0) = 2^n = A000079(n).

T(n+1,1) = A014318(n).

EXAMPLE

Triangle begins

1

2, 1

4, 3, 1

8, 8, 4, 1

16, 21, 13, 5, 1

32, 56, 40, 19, 6, 1

64, 154, 122, 66, 26, 7, 1

Production matrix begins

2, 1

0, 1, 1

0, 1, 1, 1

0, 1, 1, 1, 1

0, 1, 1, 1, 1, 1

0, 1, 1, 1, 1, 1, 1

0, 1, 1, 1, 1, 1, 1, 1

PROG

(Haskell)

a247023 n k = a247023_tabl !! n !! k

a247023_row n = a247023_tabl !! n

a247023_tabl = map reverse a201634_tabl

-- Reinhard Zumkeller, Sep 20 2014

CROSSREFS

Cf. A000079, A000108, A014318, A201634.

Sequence in context: A140069 A105851 A106195 * A051129 A319075 A264871

Adjacent sequences:  A247020 A247021 A247022 * A247024 A247025 A247026

KEYWORD

nonn,tabl

AUTHOR

Philippe Deléham, Sep 13 2014

EXTENSIONS

Data corrected by Reinhard Zumkeller, Sep 20 2014

STATUS

approved

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Last modified February 23 07:03 EST 2019. Contains 320411 sequences. (Running on oeis4.)