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 A051186 Generalized Stirling number triangle of first kind. 6
 1, -7, 1, 98, -21, 1, -2058, 539, -42, 1, 57624, -17150, 1715, -70, 1, -2016840, 657874, -77175, 4165, -105, 1, 84707280, -29647548, 3899224, -252105, 8575, -147, 1, -4150656720, 1537437132, -220709524, 16252369 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS a(n,m)= R_n^m(a=0,b=7) in the notation of the given reference. a(n,m) is a Jabotinsky matrix, i.e. the monic row polynomials E(n,x) := sum(a(n,m)*x^m,m=1..n) = product(x-7*j,j=0..n-1), n >= 1, E(0,x) := 1, are exponential convolution polynomials (see A039692 for the definition and a Knuth reference). REFERENCES Mitrinovic, D. S.; Mitrinovic, R. S.; Tableaux d'une classe de nombres relies aux nombres de Stirling. Univ. Beograd. Pubi. Elektrotehn. Fak. Ser. Mat. Fiz. No. 77 1962, 77 pp. LINKS W. Lang, First ten rows. FORMULA a(n, m) = a(n-1, m-1) - 7*(n-1)*a(n-1, m), n >= m >= 1; a(n, m) := 0, n

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Last modified January 22 16:47 EST 2019. Contains 319364 sequences. (Running on oeis4.)