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 A117297 Triangle read by rows generated from the Narayana transform. 0
 1, 1, 1, 1, 2, 4, 1, 3, 11, 37, 1, 4, 21, 122, 621, 1, 5, 34, 273, 2302, 16526, 1, 6, 50, 508, 2763, 66482, 640207 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS The operation used in generating the triangle is analogous to the binomial transform operation used in generating triangle A058127. LINKS FORMULA Let a(1) = 1, then n-th row is generated by performing the operation (M * V) on the (n-1)-th row and extracting the first n terms. M = the Narayana triangle of A001263 considered as a transform. V = the (n-1)-th row of the triangle as a Vector, V; followed by zeros: [a, b, c, 0, 0, 0...]. EXAMPLE 4th row = (1, 3, 11, 37), the first four terms of M * V = (1, 3, 11, 37, 101, 231, 463,...); where M = the Narayana triangle as an infinitely lower triangular matrix and V = the Vector formed by row 3: [1, 2, 4, 0, 0, 0...]. First few rows of the triangle are: 1; 1, 1; 1, 2, 4; 1, 3, 11, 37; 1, 4, 21, 122, 621; 1, 5, 34, 273, 2302, 16526; ... CROSSREFS Cf. A001263, A058127. Sequence in context: A258219 A036560 A308244 * A112973 A162303 A128570 Adjacent sequences:  A117294 A117295 A117296 * A117298 A117299 A117300 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Apr 23 2006 STATUS approved

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Last modified October 26 05:15 EDT 2020. Contains 338027 sequences. (Running on oeis4.)