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 A144107 Eigentriangle, row sums = n! 2
 1, 1, 1, 3, 1, 2, 13, 3, 2, 6, 71, 13, 6, 6, 24, 461, 71, 26, 18, 24, 120, 3447, 461, 142, 78, 72, 120, 720, 29093, 3447, 922, 426, 312, 360, 720, 5040 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,4 COMMENTS Sum of n-th row terms = rightmost term of next row. Left border = A003319. LINKS Table of n, a(n) for n=1..36. FORMULA Eigentriangle by rows, T(n,k) = A003319(n-k+1)*((n-1)!). Given an infinite lower triangular matrix with A003319 in every column: (1, 1, 3, 13, 71,...); we apply termwise products of row terms to an equal number of terms in the factorial sequence: (1, 1, 2, 6, 24,...). EXAMPLE First few rows of the triangle = 1; 1, 1; 3, 1, 2; 13, 3, 2, 6; 71, 13, 6, 6, 24; 461, 71, 26, 18, 24, 120; 3447, 461, 142, 78, 72, 120, 720; 29093, 3447, 922, 426, 312, 360, 720, 5040; ... Example: Row 4 = (13, 3, 2, 6) = termwise products of (13, 3, 1, 1) and (1, 1, 2, 6) = (13*1, 3*1, 1*2, 1*6); where (13, 3, 1, 1) = the first 4 terms of A003319, reversed. [Line corrected by Brad Fox, Sep 15 2008] CROSSREFS Cf. A000142, A003319. Sequence in context: A004468 A254630 A145463 * A199647 A199149 A198669 Adjacent sequences: A144104 A144105 A144106 * A144108 A144109 A144110 KEYWORD nonn,tabl AUTHOR Gary W. Adamson, Sep 11 2008 STATUS approved

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Last modified October 3 06:44 EDT 2023. Contains 365842 sequences. (Running on oeis4.)