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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A367232 G.f. satisfies A(x) = 1 + x*A(x)^3 / (1 - x*A(x))^2. 2
 1, 1, 5, 29, 189, 1325, 9757, 74429, 583037, 4662653, 37911037, 312457469, 2604534269, 21919435517, 185992729085, 1589480795133, 13668519794685, 118188894992381, 1026965424910333, 8962634482450429, 78528344593006589, 690502653622083581 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Table of n, a(n) for n=0..21. FORMULA If g.f. satisfies A(x) = 1 + x*A(x)^t / (1 - x*A(x)^u)^s, then a(n) = Sum_{k=0..n} binomial(t*k+u*(n-k)+1,k) * binomial(n+(s-1)*k-1,n-k) / (t*k+u*(n-k)+1). PROG (PARI) a(n, s=2, t=3, u=1) = sum(k=0, n, binomial(t*k+u*(n-k)+1, k)*binomial(n+(s-1)*k-1, n-k)/(t*k+u*(n-k)+1)); CROSSREFS Cf. A000108, A011270, A109081. Sequence in context: A137573 A234317 A346845 * A078945 A113713 A142980 Adjacent sequences: A367229 A367230 A367231 * A367233 A367234 A367235 KEYWORD nonn AUTHOR Seiichi Manyama, Nov 11 2023 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 August 7 17:47 EDT 2024. Contains 375017 sequences. (Running on oeis4.)