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 A103910 Triangle T read by rows: inverse of fibonomial triangle (A010048). 1
 1, -1, 1, 0, -1, 1, 1, 0, -2, 1, -1, 3, 0, -3, 1, -6, -5, 15, 0, -5, 1, 35, -48, -40, 60, 0, -8, 1, 181, 455, -624, -260, 260, 0, -13, 1, -6056, 3801, 9555, -6552, -1820, 1092, 0, -21, 1, -3741, -205904, 129234, 162435, -74256, -12376, 4641, 0, -34, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,9 COMMENTS Conjecture: all rows except the first add to zero. LINKS Table of n, a(n) for n=1..55. M. Dziemianczuk, On multi F-nomial coefficients and Inversion formula for F-nomial coefficients, Preprint: arXiv:0806.3626, 23 Jun 2008 FORMULA Conjecture: T(n+k, n) = A010048(n+k-1, k)*T(k, 1), n>1. a(n,k) = A010048(n,k) * (Sum[s=1..n-k;(-1)^s * Sum[k1+k2+..+ks=n-k,ki>=1; C(n-k; k1,k2,...,ks)] ]) where C(n; k1,k2,...,ks) is a multi-F-nomial coefficient. - Maciej Dziemianczuk, Dec 21 2008 EXAMPLE 1, -1,1, 0,-1,1, 1,0,-2,1, -1,3,0,-3,1, -6,-5,15,0,-5,1, 35,-48,-40,60,0,-8,1, 181,455,-624,-260,260,0,-13,1, -6056,3801,9555,-6552,-1820,1092,0,-21,1, CROSSREFS First column is in A103995. Sequence in context: A245840 A033774 A033804 * A155993 A353630 A341091 Adjacent sequences: A103907 A103908 A103909 * A103911 A103912 A103913 KEYWORD sign,tabl AUTHOR Ralf Stephan, Feb 24 2005 STATUS approved

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Last modified December 3 18:58 EST 2023. Contains 367540 sequences. (Running on oeis4.)