cp's OEIS Frontend

A178062 Triangle t(n,m) = -A000396(n)+A000396(m)+A000396(n-m) read by rows.

%I A178062 #7 Jul 30 2021 08:43:05
%S A178062 1,1,1,1,-16,1,1,-462,-462,1,1,-7626,-8072,-7626,1,1,-33542202,
%T A178062 -33549812,-33549812,-33542202,1,1,-8556318714,-8589860900,
%U A178062 -8589868064,-8589860900,-8556318714,1,1,-128848822266,-137405140964,-137438682704
%N A178062 Triangle t(n,m) = -A000396(n)+A000396(m)+A000396(n-m) read by rows.
%C A178062 The definition is based on the definition of a perfect number A000396(0) = 1.
%C A178062 Row sums are 1, 2, -14, -922, -23322, -134184026, ... = 2*(A092336(n)+1) -(n+1)*A000396(n). - _R. J. Mathar_, Nov 26 2010
%F A178062 t(n,m) = t(n,n-m).
%e A178062 1;
%e A178062 1, 1;
%e A178062 1, -16, 1;
%e A178062 1, -462, -462, 1;
%e A178062 1, -7626, -8072, -7626, 1;
%e A178062 1, -33542202, -33549812, -33549812, -33542202, 1;
%e A178062 1, -8556318714, -8589860900, -8589868064, -8589860900, -8556318714, 1;
%e A178062 1, -128848822266, -137405140964, -137438682704, -137438682704, -137405140964, -128848822266, 1;
%e A178062 1, -2305842870701260794, -2305842999550083044, -2305843008106401296, -2305843008139935872, -2305843008106401296, -2305842999550083044, -2305842870701260794, 1;
%t A178062 a={1,6,28,496,8128,33550336, 8589869056,137438691328,2305843008139952128,
%t A178062 2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216}
%t A178062 t[n_,m_]:=(-a[[n+1]]+(a[[m+1]]+a[[n-m+1]]));
%t A178062 Table[Table[t[n,m],{m,0,n}],{n,0,10}];
%t A178062 Flatten[%]
%Y A178062 Cf. A000396.
%K A178062 sign,tabl
%O A178062 0,5
%A A178062 _Roger L. Bagula_, May 18 2010