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A178062 Triangle t(n,m) = -A000396(n)+A000396(m)+A000396(n-m) read by rows. 0

%I #7 Jul 30 2021 08:43:05

%S 1,1,1,1,-16,1,1,-462,-462,1,1,-7626,-8072,-7626,1,1,-33542202,

%T -33549812,-33549812,-33542202,1,1,-8556318714,-8589860900,

%U -8589868064,-8589860900,-8556318714,1,1,-128848822266,-137405140964,-137438682704

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

%C The definition is based on the definition of a perfect number A000396(0) = 1.

%C Row sums are 1, 2, -14, -922, -23322, -134184026, ... = 2*(A092336(n)+1) -(n+1)*A000396(n). - _R. J. Mathar_, Nov 26 2010

%F t(n,m) = t(n,n-m).

%e 1;

%e 1, 1;

%e 1, -16, 1;

%e 1, -462, -462, 1;

%e 1, -7626, -8072, -7626, 1;

%e 1, -33542202, -33549812, -33549812, -33542202, 1;

%e 1, -8556318714, -8589860900, -8589868064, -8589860900, -8556318714, 1;

%e 1, -128848822266, -137405140964, -137438682704, -137438682704, -137405140964, -128848822266, 1;

%e 1, -2305842870701260794, -2305842999550083044, -2305843008106401296, -2305843008139935872, -2305843008106401296, -2305842999550083044, -2305842870701260794, 1;

%t a={1,6,28,496,8128,33550336, 8589869056,137438691328,2305843008139952128,

%t 2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216}

%t t[n_,m_]:=(-a[[n+1]]+(a[[m+1]]+a[[n-m+1]]));

%t Table[Table[t[n,m],{m,0,n}],{n,0,10}];

%t Flatten[%]

%Y Cf. A000396.

%K sign,tabl

%O 0,5

%A _Roger L. Bagula_, May 18 2010

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Last modified June 6 00:30 EDT 2024. Contains 373110 sequences. (Running on oeis4.)