3,2

a(n-6) = number of n-th generation nodes in the tree of sequences with unit increase labeled by 7 (cf. Zoran Sunik reference) - Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 07 2003

Number of standard tableaux of shape (n+4,n-3). - 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).

Shapiro, L. W.; A Catalan triangle. Discrete Math. 14 (1976), no. 1, 83-90.

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.

S. J. Cyvin, J. Brunvoll, E. Brendsdal, B. N. Cyvin and E. K. Lloyd, Enumeration of polyene hydrocarbons: a complete mathematical solution, J. Chem. Inf. Comput. Sci., 35 (1995) 743-751.

W.-J. Woan, L. Shapiro and D. G. Rogers, The Catalan numbers, the Lebesgue integral and 4^{n-2}, Amer. Math. Monthly, 104 (1997), 926-931.

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

G.f.=x^3*C(x)^8, where C(x)=[1-sqrt(1-4x)]/(2x) is g.f. for the Catalan numbers (A000108). - Emeric Deutsch (deutsch(AT)duke.poly.edu), May 30 2004

The convolution of A002057 with itself. - Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Nov 08 2007

Cf. A002057.

First differences are in A026018.

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.

Cf. A002057.

Sequence in context: A023007 A073380 A022636 this_sequence A100575 A003220 A125318

Adjacent sequences: A003515 A003516 A003517 this_sequence A003519 A003520 A003521

nonn,easy

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