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!)
 A305555 Sum of the areas of all L-elevated skew paths of semi-length n. 0
 0, 0, 3, 19, 106, 564, 2935, 15091, 77037, 391433, 1982573, 10018605, 50541372, 254637294, 1281605541, 6445146105, 32390909850, 162695554860, 816825463045, 4099345475605, 20566288883610, 103150972979000, 517229100535265, 2592974460838005, 12996619961409245, 65131180719470549, 326348682636203655, 1634993474319839431 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Emeric Deutsch, Emanuele Munarini, Simone Rinaldi, Skew Dyck paths, area, and superdiagonal bargraphs, Journal of Statistical Planning and Inference, Vol. 140, Issue 6, June 2010, pp. 1550-1562. FORMULA g.f.: (1-10*x+13*x^2-(1-7*x)*sqrt(1-6*x+5*x^2))/2/(5*x-1) . D-finite with recurrence: n*(n+3)*a(n) +(-11*n^2-24*n+55)*a(n-1) +5*(7*n^2+9*n-71)*a(n-2) -25*(n-4) *(n+4)*a(n-3)=0. MAPLE g := (1-10*x+13*x^2-(1-7*x)*sqrt(1-6*x+5*x^2))/2/(5*x-1) ; taylor(g, x=0, 40) ; gfun[seriestolist](%) ; CROSSREFS Sequence in context: A095120 A304625 A151539 * A323919 A089164 A323290 Adjacent sequences:  A305552 A305553 A305554 * A305556 A305557 A305558 KEYWORD nonn,easy AUTHOR R. J. Mathar, Jun 21 2018 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 August 5 06:18 EDT 2021. Contains 346457 sequences. (Running on oeis4.)