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 A263216 Triangle read by rows: T(n>=2, k>=1) is the number of Dyck paths of length 2n that correspond to k alternating sign matrices. 0
 2, 3, 2, 5, 4, 0, 0, 3, 0, 2, 8, 10, 0, 0, 6, 0, 4, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 2, 13, 20, 0, 4, 15, 0, 10, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,1 COMMENTS Row sums give A000108, n >= 2. LINKS Table of n, a(n) for n=2..101. FindStat - Combinatorial Statistic Finder, The number of alternating sign matrices for a given Dyck path. EXAMPLE Triangle begins: 2, 3,2, 5,4,0,0,3,0,2, 8,10,0,0,6,0,4,0,0,0,0,0,0,5,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2, ... CROSSREFS Cf. A000108. Sequence in context: A165609 A358462 A141465 * A141663 A011153 A214750 Adjacent sequences: A263213 A263214 A263215 * A263217 A263218 A263219 KEYWORD nonn,tabf AUTHOR Christian Stump, Oct 19 2015 STATUS approved

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Last modified May 25 14:05 EDT 2024. Contains 372788 sequences. (Running on oeis4.)