A067308 One sixteenth of fifth column of triangle A067304.

16, 185, 2181, 26860, 342968, 4504944, 60509296, 827456576, 11482655232, 161302619392, 2289365653760, 32780329073664, 472951175022592, 6869148315201536, 100352220112662528, 1473672361011920896

Offset

0,1

Links

Table of n, a(n) for n=0..15.

Formula

a(n)= A067304(n+4, 4)/15 = (A067297(n+4)-sum(b(j)b(n+4-j), j=0..3))/16, n>=0, with b(n) := A064340(n).

G.f.: (21+70c(4*x)+93*c(4*x)^2+60*c(4*x)^3+12*c(4*x)^4)*(c(4*x)^3)/(1+c(4*x))^4, with c(x) g.f. of A000108 (Catalan).

Example

21+70*y+93*y^2+60*y^3 = p(4,y), fifth row polynomial of triangle A067329.

Crossrefs

Sequence in context: A203391 A016249 A021049 * A016244 A240361 A016292

Adjacent sequences: A067305 A067306 A067307 * A067309 A067310 A067311

Keyword

nonn,easy

Author

Wolfdieter Lang, Feb 05 2002

Status

approved