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 A202992 Triangle T(n,k), read by rows, given by (1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, ...) DELTA (0, 0, 1, 1, 2, 2, 3, 3, 4, 4, ...) where DELTA is the operator defined in A084938. 0
 1, 1, 0, 2, 0, 0, 5, 1, 0, 0, 14, 8, 2, 0, 0, 42, 46, 26, 6, 0, 0, 132, 232, 220, 112, 24, 0, 0, 429, 1093, 1527, 1275, 596, 120, 0, 0, 1430, 4944, 9436, 11384, 8638, 3768, 720, 0, 0, 4862, 21778, 54004, 87556, 95126, 66938, 27576, 5040, 0, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS T(n,0) = A000108(n) (the Catalan numbers). Row sums are the factorials (A000142). LINKS FORMULA T(n,0) = A000108(n), Catalan numbers. Row sums = n! = A000142(n). T(n+2,n) = n!, n>0. Sum_{k, 0<=k<=n} T(n,k)*x^k = A011782(n), A000108(n), A000142(n) for x = -1, 0, 1 respectively. EXAMPLE Triangle begins : 1 1, 0 2, 0, 0 5, 1, 0, 0 14, 8, 2, 0, 0 42, 46, 26, 6, 0, 0 132, 232, 220, 112, 24, 0, 0 CROSSREFS Cf. A000108, A000142, A011782, A145879 Sequence in context: A259701 A147843 A094597 * A158830 A275744 A290321 Adjacent sequences:  A202989 A202990 A202991 * A202993 A202994 A202995 KEYWORD nonn,tabl AUTHOR Philippe Deléham, Dec 26 2011 STATUS approved

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Last modified March 30 05:01 EDT 2020. Contains 333118 sequences. (Running on oeis4.)