4,2

Number of n-th generation vertices in the tree of sequences with unit increase labeled by 8 (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=4. - Herbert Kociemba (kociemba(AT)t-online.de), May 24 2004

Number of standard tableaux of shape (n+4,n-4). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

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).

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

Expansion of x^4*C^9, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108 . - DELEHAM Philippe (kolotoko(AT)wanadoo.fr), Feb 03 2004

First differences are in A026015.

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.

Sequence in context: A079817 A027472 A022637 this_sequence A079764 A079761 A115784

Adjacent sequences: A001389 A001390 A001391 this_sequence A001393 A001394 A001395

nonn

N. J. A. Sloane (njas(AT)research.att.com).