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 A144252 Eigentriangle, row sums = A144251 shifted, right border = A144251. 2
 1, 1, 1, 1, 3, 2, 1, 5, 12, 6, 1, 7, 30, 60, 24, 1, 9, 56, 210, 360, 122, 1, 11, 90, 504, 1680, 2562, 758, 1, 13, 132, 990, 5040, 15372, 21224, 5606, 1, 15, 182, 1716, 11880, 36364, 159180, 201816, 47378 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Right border = A144251: (1, 1, 2, 6, 24, 122, 758,...) with row sums = the same sequence shifted. Sum of n-th row terms = rightmost term of next row. LINKS FORMULA Eigentriangle by rows, T(n,k) = A054142(n,k) * A144251(k); were A144251 = the eiegensequence of triangle A054142. EXAMPLE First few rows of the triangle = 1; 1, 1; 1, 3, 2; 1, 5, 12, 6; 1, 7, 30, 60, 24; 1, 9, 56, 210, 360, 122; 1, 11, 90, 504, 1680, 2562, 758; 1, 13, 132, 990, 5040, 15372, 21224, 5606; ... The triangle is generated from A054142 and its own eigensequence, (A144251), where A054142 = 1; 1, 1; 1, 3, 1; 1, 5, 6, 1; 1, 7, 15, 10, 1; ... The eigensequence of A054142 = A144251: (1, 1, 2, 6, 24, 122, 758, 5606,...); Example: row 3 of A144252 = (1, 5, 12, 6) = termwise products of (1, 5, 6, 1) and (1, 1, 2, 6) = (1*1, 5*1, 6*2, 1*6). CROSSREFS A144251, Cf. A054142, A125273, A085478 Sequence in context: A085792 A108123 A105954 * A248033 A318254 A002130 Adjacent sequences:  A144249 A144250 A144251 * A144253 A144254 A144255 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 16 2008 STATUS approved

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Last modified December 5 09:45 EST 2021. Contains 349543 sequences. (Running on oeis4.)