This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A176013 Triangle read by rows:t(n,m)=(-1)^n*(n!/m!)*(Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m) 0
 -1, 2, 1, -6, -9, -1, 24, 72, 24, 1, -120, -600, -400, -50, -1, 720, 5400, 6000, 1500, 90, 1, -5040, -52920, -88200, -36750, -4410, -147, -1, 40320, 564480, 1317120, 823200, 164640, 10976, 224, 1, -362880, -6531840, -20321280, -17781120, -5334336 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums are: {-1, 3, -16, 121, -1171, 13711, -187468, 2920961, -50948677, 981458011,...}. LINKS FORMULA t(n,m)=(-1)^n*(n!/m!)*(Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m) EXAMPLE {-1}, {2, 1}, {-6, -9, -1}, {24, 72, 24, 1}, {-120, -600, -400, -50, -1}, {720, 5400, 6000, 1500, 90, 1}, {-5040, -52920, -88200, -36750, -4410, -147, -1}, {40320, 564480, 1317120, 823200, 164640, 10976, 224, 1}, {-362880, -6531840, -20321280, -17781120, -5334336, -592704, -24192, -324, -1}, {3628800, 81648000, 326592000, 381024000, 160030080, 26671680, 1814400, 48600, 450, 1 } MATHEMATICA L[n_, m_] = (-1)^n*(n!/m!)*(Binomial[n - 1, m - 1]*Binomial[n, m - 1]/m); Table[Table[L[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[%] CROSSREFS Cf. A008297 Sequence in context: A021465 A139526 A248927 * A263255 A145663 A276664 Adjacent sequences:  A176010 A176011 A176012 * A176014 A176015 A176016 KEYWORD sign,tabl,uned AUTHOR Roger L. Bagula, Apr 06 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified October 21 11:15 EDT 2019. Contains 328294 sequences. (Running on oeis4.)