2,2

a(n-3) = number of n-th generation vertices in the tree of sequences with unit increase labeled by 4 (cf. Zoran Sunik reference) - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 07 2003

Number of lattice paths from (0,0) to (n,n) with steps E=(1,0) and N=(0,1) which touch but do not cross the line x-y=2 Example: For n=3 there are the 5 paths EENENN, EENNEN, EENNNE, ENEENN, NEEENN - Herbert Kociemba (kociemba(AT)t-online.de), May 24 2004

Number of standard tableaux of shape (n+2,n-2). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004

V. E. Hoggatt, Jr. and M. Bicknell, Catalan and related sequences arising from inverses of Pascal's triangle matrices, Fib. Quart., 14 (1976), 395-405.

A. Papoulis, A new method of inversion of the Laplace transform, Quart. Applied Math. 14 (1956), 405ff.

J. Riordan, The distribution of crossings of chords joining pairs of 2n points on a circle, Math. Comp., 29 (1975), 215-222.

Zoran Sunik, Self describing sequences and the Catalan family tree, Elect. J. Combin., 10 (No. 1, 2003).

Paul Barry, A Catalan Transform and Related Transformations on Integer Sequences, Journal of Integer Sequences, Vol. 8 (2005), Article 05.4.5.

R. K. Guy, Catwalks, Sandsteps and Pascal Pyramids, J. Integer Seqs., Vol. 3 (2000), #00.1.6

Integral representation as n-th moment of a function on [0, 4], in Maple notation: a(n)=int(x^n*((1/2)/Pi*x^(3/2)*(x^2-3*x+1)*(4-x)^(1/2)), x=0..4), n=0, 1..., for which offset=0. - Karol A. Penson (penson(AT)lptl.jussieu.fr), Oct 11 2001

Expansion of x^2*C^5, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers (A000108) - Herbert Kociemba (kociemba(AT)t-online.de), May 02 2004

T(n, n+5) for n=0, 1, 2, ..., array T as in A047072.

A diagonal of any of the essentially equivalent arrays A009766, A030237, A033184, A059365, A099039, A106566, A130020, A047072.

Cf. A000108 A000245 A002057 A000344 A003517 A000588 A003518 A003519 A001392.

Adjacent sequences: A000341 A000342 A000343 this_sequence A000345 A000346 A000347

Sequence in context: A094828 A030191 A093131 this_sequence A061278 A000758 A005283

nonn,easy

njas