This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A172302 q-form Narayana triangle sequence:q=5:c(n,q)=Product[(1 - q^i), {i, 1, n}]; w(n,m,q)=-(q - 1)*c(n - 1, q)*c(n, q)/(c(m - 1, q)* c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*(1 - q^m )) 0
 1, 1, 1, 1, 31, 1, 1, 806, 806, 1, 1, 20306, 527956, 20306, 1, 1, 508431, 333038706, 333038706, 508431, 1, 1, 12714681, 208533483081, 5253698396331, 208533483081, 12714681, 1, 1, 317886556, 130381488829956, 82245646088465706 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS q=2 is A156916. Row sums are: {1, 2, 33, 1614, 568570, 667094276, 5670790791857, 164752055790364438, 34760211807180756108894, 25197394536008396774892947100,...} LINKS FORMULA q=5: c(n,q)=Product[(1 - q^i), {i, 1, n}]; w(n,m,q)=-(q - 1)*c(n - 1, q)*c(n, q)/(c(m - 1, q)* c(n - m, q)*c(m - 1, q)*c(n - m + 1, q)*(1 - q^m )) EXAMPLE {1}, {1, 1}, {1, 31, 1}, {1, 806, 806, 1}, {1, 20306, 527956, 20306, 1}, {1, 508431, 333038706, 333038706, 508431, 1}, {1, 12714681, 208533483081, 5253698396331, 208533483081, 12714681, 1}, {1, 317886556, 130381488829956, 82245646088465706, 82245646088465706, 130381488829956, 317886556, 1}, {1, 7947261556, 81494438892517456, 1285577907930958734456, 32188893002425159081956, 1285577907930958734456, 81494438892517456, 7947261556, 1}, {1, 198682027181, 50934775370442204956, 20088685264446025720234456, 12578608531804976792602006956, 12578608531804976792602006956, 20088685264446025720234456, 50934775370442204956, 198682027181, 1} MATHEMATICA c[n_, q_] = Product[(1 - q^i), {i, 1, n}]; w[n_, m_, q_] = -(q - 1)*c[n - 1, q]*c[n, q]/(c[m - 1, q]*c[n - m, q]*c[m - 1, q]*c[n - m + 1, q]*(1 - q^m )); Table[Table[Table[w[n, m, q], {m, 1, n}], {n, 1, 10}], {q, 2, 12}] Table[Flatten[Table[Table[w[n, m, q], {m, 1, n}], {n, 1, 10}]], {q, 2, 12}] CROSSREFS Sequence in context: A300656 A239633 A174692 * A103474 A047687 A040953 Adjacent sequences:  A172299 A172300 A172301 * A172303 A172304 A172305 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Jan 31 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.)