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 A305554 Sum of the areas of all D-elevated skew paths of semi-length n. 0
 0, 1, 4, 22, 116, 600, 3072, 15634, 79256, 400718, 2022160, 10189974, 51292608, 257965512, 1296483996, 6512176890, 32694946020, 164082802440, 823188507360, 4128668625430, 20701989426800, 103781348220380, 520167491584660, 2606714240022090, 13061050758478620, 65434115386531850 (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.: x*(2-4*x-sqrt(1-6*x+5*x^2))/(1-5*x). D-finite with recurrence: (-n+1)*a(n) +(11*n-20)*a(n-1) +5*(-7*n+19)*a(n-2) +25*(n-4)*a(n-3)=0. MAPLE g := x*(2-4*x-sqrt(1-6*x+5*x^2))/(1-5*x) ; taylor(g, x=0, 40) ; gfun[seriestolist](%) ; CROSSREFS Sequence in context: A272435 A106835 A293966 * A291183 A245087 A155596 Adjacent sequences:  A305551 A305552 A305553 * A305555 A305556 A305557 KEYWORD nonn,easy AUTHOR R. J. Mathar, Jun 21 2018 STATUS approved

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Last modified April 13 03:43 EDT 2021. Contains 342934 sequences. (Running on oeis4.)