The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A227377 Limit of rows, when read in reverse, of triangle A227372. 2
 1, 2, 4, 9, 14, 27, 46, 71, 113, 185, 280, 409, 614, 899, 1325, 1892, 2639, 3717, 5216, 7221, 9990, 13600, 18315, 24705, 33190, 44338, 58998, 78151, 102492, 133963, 174840, 227180, 294463, 380480, 489606, 628157, 801699, 1019864, 1295760, 1641900, 2074523 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS The g.f. of triangle A227372 satisfies: G(x,q) = 1 + x*G(q*x,q)*G(x,q)^2. What is the generating function for this sequence? LINKS EXAMPLE G.f.: A(x) = 1 + x + 2*x^2 + 6*x^3 + 18*x^4 + 59*x^5 + 199*x^6 + 693*x^7 +... PROG (PARI) /* G.f. of A227372: G(x, q) = 1 + x*G(q*x, q)*G(x, q)^2: */ {A227372(n, k)=local(G=1); for(i=1, n, G=1+x*subst(G, x, q*x)*G^2 +x*O(x^n)); polcoeff(polcoeff(G, n, x), k, q)} {a(n)=A227372(n+1, n*(n-1)/2)} for(n=0, 40, print1(a(n), ", ")) CROSSREFS Cf. A227372, A227373. Sequence in context: A119637 A169762 A291465 * A173407 A113862 A244624 Adjacent sequences:  A227374 A227375 A227376 * A227378 A227379 A227380 KEYWORD nonn AUTHOR Paul D. Hanna, Jul 10 2013 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 March 28 20:01 EDT 2020. Contains 333103 sequences. (Running on oeis4.)