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 A143778 Eigentriangle of A001263, the Narayana triangle. 1
 1, 1, 1, 1, 3, 2, 1, 6, 12, 6, 1, 10, 40, 60, 25, 1, 15, 100, 300, 375, 136, 1, 21, 210, 1050, 2625, 2856, 927, 1, 18, 392, 2940, 12250, 26656, 25956, 7690, 1, 36, 672, 7056, 44100, 15993, 311472, 276840, 75913 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS The Narayana triangle begins: 1; 1, 1; 1, 3, 1; 1, 6, 6, 1; 1, 10, 20, 10, 1; ... An eigentriangle of T is generated by taking the termwise product of (n-1)-th row terms of triangle T (in this case the Narayana triangle A001263); and the eigensequence of T = A102812 = (1, 1, 2, 6, 25, 136, 927,...). Sum of n-th row terms of triangle A143778 = rightmost term of (n+1)-th row. Right border of the triangle = the eigensequence of T. Row sums of the triangle = the eigensequence of T shifted one place to the left: (1, 2, 6, 25, 136,...) (A102812 * 0^(n-k)) = an infinite lower triangular matrix with A102812 as the main diagonal and the rest zeros. LINKS FORMULA Triangle read by rows, A001263 * (A102812 * 0^(n-k)); 0<=k<=n Apparently for k

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Last modified June 26 04:11 EDT 2019. Contains 324369 sequences. (Running on oeis4.)