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A162170 Matrix inverse of A162169. 4

%I

%S 1,1,1,1,0,1,2,0,3,1,5,0,6,0,1,16,0,20,0,5,1,61,0,75,0,15,0,1,272,0,

%T 336,0,70,0,7,1,1385,0,1708,0,350,0,28,0,1,7936,0,9792,0,2016,0,168,0,

%U 9,1,50521,0,62325,0,12810,0,1050,0,45,0,1,353792,0,436480,0,89760,0,7392,0

%N Matrix inverse of A162169.

%C First column appears to be A000111. Third column is A162171. Row sums minus A000035 appears to be A062272.

%e Table begins:

%e .1

%e .1...1

%e .1...0...1

%e .2...0...3...1

%e .5...0...6...0...1

%e 16...0..20...0...5...1

%e 61...0..75...0..15...0...1

%o (PARI) T(n, k) = if (k % 2, binomial(n-1, k-1) * (-1)^floor((n+k-1)/2), if (n==k, 1 , 0));

%o tabl(nn) = {m = matrix(nn, nn, n, k, if (n>=k, T(n,k), 0)); m = m^(-1); for (n=1, nn, for (k=1, n, print1(m[n,k], ", ");); print(););} \\ _Michel Marcus_, Jun 17 2015

%Y Cf. A000111, A162171, A062272.

%K nonn,tabl

%O 1,7

%A _Mats Granvik_, Jun 27 2009

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Last modified August 20 10:41 EDT 2019. Contains 326150 sequences. (Running on oeis4.)