%I A101559
%S A101559 1,1,2,1,4,4,1,7,15,10,1,11,42,65,34,1,16,96,267,339,154,1,22,191,831,
               1891,
%T A101559 2103,874,1,29,344,2151,7600,15023,15171,5914,1,37,575,4880,24600,74884,
               133147,
%U A101559 124755,46234,1,46,907,10025,68153,293925,798564,1305847,1151331,409114,
               1,56
%V A101559 1,1,-2,1,-4,4,1,-7,15,-10,1,-11,42,-65,34,1,-16,96,-267,339,-154,1,-22,
               191,-831,1891,
%W A101559 -2103,874,1,-29,344,-2151,7600,-15023,15171,-5914,1,-37,575,-4880,24600,
               -74884,133147,
%X A101559 -124755,46234,1,-46,907,-10025,68153,-293925,798564,-1305847,1151331,
               -409114,1,-56
%N A101559 This table (read by rows) shows the coefficients of sum formulae 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).
%H A101559 A. F. Labossiere, <a href="http://members.lycos.co.uk/sobalian/index.html">
               Sobalian Coefficients</a>.
%H A101559 A. F. Labossiere, <a href="http://members.lycos.co.uk/stereotomography/
               index.html">Miscellaneous</a>.
%e A101559 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 A101559 Cf. A101560, A000166, A000110, A101033, A101032, A000204, A100492, A099731, 
               A000045, A094216, A094638, A000108.
%Y A101559 Sequence in context: A008572 A118976 A138177 this_sequence A122438 A156708 
               A131250
%Y A101559 Adjacent sequences: A101556 A101557 A101558 this_sequence A101560 A101561 
               A101562
%K A101559 sign,tabl
%O A101559 1,3
%A A101559 Andre F. Labossiere (boronali(AT)laposte.net), Dec 06 2004