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 A155586 A modified Catalan sequence array. 2
 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 5, 2, 1, 1, 1, 14, 5, 2, 1, 1, 1, 42, 14, 5, 2, 1, 1, 1, 132, 42, 14, 5, 2, 1, 1, 1, 429, 132, 42, 14, 5, 2, 1, 1, 1, 1430, 429, 132, 42, 14, 5, 2, 1, 1, 1, 4862, 1430, 429, 132, 42, 14, 5, 2, 1, 1, 1, 16796, 4862, 1430, 429, 132, 42, 14, 5, 2, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 COMMENTS Row sums are in A155587. Stieltjes associate array to A091491. LINKS FORMULA T(n,k) = [k <= n] * if(k=0, 1, A000108(n-k)) for 0 <= k <= n, where [ ] is the Iverson bracket. Bivariate o.g.f.: 1/(1 - x) + c(x) * x*y/(1 - x*y), where c(x) is the o.g.f. of A000108. - Petros Hadjicostas, Aug 03 2020 EXAMPLE Triangle T(n,k) (with rows n >= 0 and columns k = 0..n) begins   1;   1,    1;   1,    1,   1;   1,    2,   1,   1;   1,    5,   2,   1,  1;   1,   14,   5,   2,  1,  1;   1,   42,  14,   5,  2,  1, 1;   1,  132,  42,  14,  5,  2, 1, 1;   1,  429, 132,  42, 14,  5, 2, 1, 1;   1, 1430, 429, 132, 42, 14, 5, 2, 1, 1;   ... CROSSREFS Cf. A000108, A091491, A155587. Sequence in context: A099940 A157249 A343233 * A069739 A066060 A008550 Adjacent sequences:  A155583 A155584 A155585 * A155587 A155588 A155589 KEYWORD easy,nonn,tabl AUTHOR Paul Barry, Jan 24 2009 STATUS approved

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Last modified July 30 23:12 EDT 2021. Contains 346365 sequences. (Running on oeis4.)