The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 59th year, we have over 358,000 sequences, and we’ve crossed 10,300 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A174791 A symmetrical triangular sequence:t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1 0
 1, 1, 1, 1, 13, 1, 1, 181, 181, 1, 1, 2401, 9361, 2401, 1, 1, 33601, 361201, 361201, 33601, 1, 1, 514081, 12852001, 34776001, 12852001, 514081, 1, 1, 8678881, 454265281, 2755015201, 2755015201, 454265281, 8678881, 1, 1, 161602561 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 15, 364, 14165, 789606, 61508167, 6435918728, 872578586889, 148832934243850, 31190016903091211,...}. LINKS FORMULA t(n,m)=(n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1 EXAMPLE {1}, {1, 1}, {1, 13, 1}, {1, 181, 181, 1}, {1, 2401, 9361, 2401, 1}, {1, 33601, 361201, 361201, 33601, 1}, {1, 514081, 12852001, 34776001, 12852001, 514081, 1}, {1, 8678881, 454265281, 2755015201, 2755015201, 454265281, 8678881, 1}, {1, 161602561, 16490718721, 199223055361, 440827833601, 199223055361, 16490718721, 161602561, 1}, {1, 3305111041, 624953387521, 13875095646721, 59913112976641, 59913112976641, 13875095646721, 624953387521, 3305111041, 1}, {1, 73846080001, 24924848256001, 959521635072001, 7420909535424001, 14379157173427201, 7420909535424001, 959521635072001, 24924848256001, 73846080001, 1} MATHEMATICA << DiscreteMath`Combinatorica` t[n_, m_] = (n!^2/(m!(n - m)!))*Eulerian[n + 1, m] - (n!^2/(m!(n - m)!)) + 1 Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}] Flatten[%] CROSSREFS Sequence in context: A172300 A022176 A188646 * A015132 A066036 A010231 Adjacent sequences: A174788 A174789 A174790 * A174792 A174793 A174794 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Mar 29 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified December 2 23:09 EST 2022. Contains 358510 sequences. (Running on oeis4.)