A247023 Riordan array (1/(1-2*x), x*C(x)) where C(x) is the o.g.f. of Catalan numbers A000108.
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
Offset: 0
Examples
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
Links
- Reinhard Zumkeller, Rows n = 0..125 of triangle, flattened
Programs
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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
Extensions
Data corrected by Reinhard Zumkeller, Sep 20 2014
Comments