This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A126151 Column 0 and row sums of symmetric triangle A126150. 4
 1, 1, 6, 96, 2976, 151416, 11449296, 1204566336, 168233625216, 30110372009856, 6719377991060736, 1829013279998846976, 596449130341224185856, 229556544889929225117696, 102956750031135241952280576 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 REFERENCES E. Norton, Symplectic Reflection Algebras in Positive Characteristic as Ore Extensions, arXiv preprint arXiv:1302.5411, 2013 LINKS FORMULA a(n)=Sum_{k, 0<=k<=n}A087736(n,k)*2^(n-k). - Philippe DELEHAM, Jul 17 2007 G.f.: 1/(1-x/(1-5*x/(1-12*x/(1-22*x/(1-35*x/(1-51*x/(1-70*x/(1-...- (n*(3*n-1)/2)*x/(1-...))))))))), a continued fraction involving pentagonal numbers A000326. [From Paul D. Hanna, Feb 15 2012] PROG (PARI) /* Continued Fraction involving pentagonal numbers A000326: */ {a(n)=local(CF=1+x*O(x), m, P); for(k=1, n, m=n-k+1; P=m*(3*m-1)/2; CF=1/(1-P*x*CF)); polcoeff(CF, n, x)} for(n=0, 20, print1(a(n), ", ")) CROSSREFS Cf. A126150; diagonals: A126152, A126153. Sequence in context: A139743 A156460 A038094 * A066319 A186269 A111826 Adjacent sequences:  A126148 A126149 A126150 * A126152 A126153 A126154 KEYWORD nonn AUTHOR Paul D. Hanna, Dec 19 2006 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
Recent Additions | More pages | Superseeker | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .