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A067308 One sixteenth of fifth column of triangle A067304. +0
1
16, 185, 2181, 26860, 342968, 4504944, 60509296, 827456576, 11482655232, 161302619392, 2289365653760, 32780329073664, 472951175022592, 6869148315201536, 100352220112662528, 1473672361011920896 (list; graph; listen)
OFFSET

0,1

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: A125428 A016249 A021049 this_sequence A016244 A016292 A004333

Adjacent sequences: A067305 A067306 A067307 this_sequence A067309 A067310 A067311

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Feb 5 2002

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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