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 A104030 Matrix inverse, read by rows, of triangle A104029, which forms the pairwise sums of trinomial coefficients. 4
 1, -2, 1, 7, -5, 1, -41, 32, -9, 1, 376, -299, 91, -14, 1, -5033, 4015, -1241, 205, -20, 1, 92821, -74080, 22954, -3842, 400, -27, 1, -2257166, 1801537, -558402, 93652, -9863, 707, -35, 1, 69981919, -55855829, 17313721, -2904530, 306409, -22190, 1162, -44, 1, -2694447797, 2150565968 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Column 0 forms signed Hammersley's polynomial p_n(1) (A006846), offset 1. Row sums equal negative Genocchi numbers of first kind (A001469). Rows form polynomials R_n(x) such that: R_n(3) = 1 for n>=0 and R_n(1/2) = (-1)^n*A005647(n+1)/2^n (signed Salie numbers). Column 1 forms A104031. Unsigned row sums form A104032. LINKS EXAMPLE Rows begin: 1; -2,1; 7,-5,1; -41,32,-9,1; 376,-299,91,-14,1; -5033,4015,-1241,205,-20,1; 92821,-74080,22954,-3842,400,-27,1; -2257166,1801537,-558402,93652,-9863,707,-35,1; ... PROG (PARI) T(n, k)=if(n=j, polcoeff((1+x+x^2)^(m-1)+O(x^(2*j)), 2*j-2)+ polcoeff((1+x+x^2)^(m-1)+O(x^(2*j)), 2*j-1))))^-1)[n+1, k+1]) CROSSREFS Cf. A006846, A001469, A005647, A104027, A104029, A104031, A104032. Sequence in context: A248811 A048505 A124821 * A206533 A262057 A082791 Adjacent sequences:  A104027 A104028 A104029 * A104031 A104032 A104033 KEYWORD sign,tabl AUTHOR Paul D. Hanna, Feb 26 2005 STATUS approved

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Last modified August 1 16:41 EDT 2021. Contains 346400 sequences. (Running on oeis4.)