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A178062 Triangle t(n,m) = -A000396(n)+A000396(m)+A000396(n-m) read by rows. 0
1, 1, 1, 1, -16, 1, 1, -462, -462, 1, 1, -7626, -8072, -7626, 1, 1, -33542202, -33549812, -33549812, -33542202, 1, 1, -8556318714, -8589860900, -8589868064, -8589860900, -8556318714, 1, 1, -128848822266, -137405140964, -137438682704 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,5
COMMENTS
The definition is based on the definition of a perfect number A000396(0) = 1.
Row sums are 1, 2, -14, -922, -23322, -134184026, ... = 2*(A092336(n)+1) -(n+1)*A000396(n). - R. J. Mathar, Nov 26 2010
LINKS
FORMULA
t(n,m) = t(n,n-m).
EXAMPLE
1;
1, 1;
1, -16, 1;
1, -462, -462, 1;
1, -7626, -8072, -7626, 1;
1, -33542202, -33549812, -33549812, -33542202, 1;
1, -8556318714, -8589860900, -8589868064, -8589860900, -8556318714, 1;
1, -128848822266, -137405140964, -137438682704, -137438682704, -137405140964, -128848822266, 1;
1, -2305842870701260794, -2305842999550083044, -2305843008106401296, -2305843008139935872, -2305843008106401296, -2305842999550083044, -2305842870701260794, 1;
MATHEMATICA
a={1, 6, 28, 496, 8128, 33550336, 8589869056, 137438691328, 2305843008139952128,
2658455991569831744654692615953842176, 191561942608236107294793378084303638130997321548169216}
t[n_, m_]:=(-a[[n+1]]+(a[[m+1]]+a[[n-m+1]]));
Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];
Flatten[%]
CROSSREFS
Cf. A000396.
Sequence in context: A022179 A015141 A176390 * A040263 A082696 A040262
KEYWORD
sign,tabl
AUTHOR
Roger L. Bagula, May 18 2010
STATUS
approved

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Last modified April 21 04:40 EDT 2024. Contains 371850 sequences. (Running on oeis4.)