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This table (read by rows) shows the coefficients of sum formulas of n-th subfactorial numbers (A000166). The n-th row (n>=1) contains T(i,n) for i=1 to n, where T(i,n) satisfies Subf(n) = Sum_{i=1..n} T(i,n) * n^(n-i).
7

%I #6 Jun 16 2016 23:27:26

%S 1,1,-2,1,-4,4,1,-7,15,-10,1,-11,42,-65,34,1,-16,96,-267,339,-154,1,

%T -22,191,-831,1891,-2103,874,1,-29,344,-2151,7600,-15023,15171,-5914,

%U 1,-37,575,-4880,24600,-74884,133147,-124755,46234,1,-46,907,-10025,68153,-293925,798564,-1305847,1151331,-409114,1,-56

%N This table (read by rows) shows the coefficients of sum formulas of n-th subfactorial numbers (A000166). The n-th row (n>=1) contains T(i,n) for i=1 to n, where T(i,n) satisfies Subf(n) = Sum_{i=1..n} T(i,n) * n^(n-i).

%e Subf(9) = [ 9^8 -37*9^7 +575*9^6 -4880*9^5 +24600*9^4 -74884*9^3 +133147*9^2 - 124755*9 +46234 ] = 14833.

%Y Cf. A101560, A000166, A000110, A101033, A101032, A000204, A100492, A099731, A000045, A094216, A094638, A000108.

%K sign,tabl

%O 1,3

%A _André F. Labossière_, Dec 06 2004