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 A102222 Logarithm of triangular matrix A102220, which equals [2*I - A008459]^(-1). 4
 0, 1, 0, 3, 4, 0, 22, 27, 9, 0, 323, 352, 108, 16, 0, 7906, 8075, 2200, 300, 25, 0, 290262, 284616, 72675, 8800, 675, 36, 0, 14919430, 14222838, 3486546, 395675, 26950, 1323, 49, 0, 1022475715, 954843520, 227565408, 24793216, 1582700, 68992, 2352, 64, 0 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS Column 0 forms A102223. LINKS Table of n, a(n) for n=0..44. FORMULA T(n, k) = C(n, k)^2*A102223(n-k). T(n, 0) = A102223(n). T(n, n) = 0 for n>=0. [A102222] = Sum_{m=1..inf} [A008459 - I]^m/m. EXAMPLE Rows begin: [0], [1,0], [3,4,0], [22,27,9,0], [323,352,108,16,0], [7906,8075,2200,300,25,0], [290262,284616,72675,8800,675,36,0],... which equals the term-by-term product of column 0 with the squared binomial coefficients (A008459): [(0)1^2], [(1)1^2,(0)1^2], [(3)1^2,(1)2^2,(0)1^2], [(22)1^2,(3)3^2,(1)3^2,(0)1^2], [(323)1^2,(22)4^2,(3)6^2,(1)4^2,(0)1^2],... PROG (PARI) {T(n, k)=if(n

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Last modified May 20 03:01 EDT 2024. Contains 372703 sequences. (Running on oeis4.)