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A089836
INVERT transform of A089835.
2
2, 28, 704, 26800, 1404416, 94890112, 7887853568, 779773444864, 89407927009280, 11666949886007296, 1707352344419336192, 276938622991133237248, 49316570352062326636544, 9565558797749164794511360, 2007400581177856844629016576, 453192947995950052758954115072
OFFSET
1,1
LINKS
FORMULA
a(n) ~ 16^n * n! / (Pi*n^2). - Vaclav Kotesovec, Sep 05 2014
MAPLE
INVERT(A089835); INVERT([seq(A000108(n)*A000108(n)*(n+1)!, n=1..9)]);
a:= proc(n) option remember; local i; `if`(n<1, 1, add(a(n-i) *(2*i)!^2 /i!^3 /(i+1), i=1..n)) end: seq(a(n), n=1..20); # Alois P. Heinz, Apr 01 2009
MATHEMATICA
a[n_] := a[n] = If[n < 1, 1, Sum[a[n - i] *(2 i)!^2 /i!^3 /(i + 1), {i, 1, n}]]; Array[a, 20] (* Jean-François Alcover, Mar 03 2016, adapted from Maple *)
CROSSREFS
Sequence in context: A246483 A151332 A098631 * A372164 A372165 A090249
KEYWORD
nonn
AUTHOR
Antti Karttunen, Dec 05 2003
EXTENSIONS
More terms from Alois P. Heinz, Apr 01 2009
STATUS
approved