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A075878
Sum of coefficients of (x1)^(2i(1))*(x2)^(2i(2))*(x3)^(2i(3))*(x4)^(2i(4)) for {(i1),(i2),(i3),(i4)}=0,1,2,... : sum(i)=2n in the expansion of (x1+x2+x3+x4)^(2n) where n=1,2,3,...
1
4, 40, 544, 8320, 131584, 2099200, 33562624, 536903680, 8590065664, 137439477760, 2199025352704, 35184380477440
OFFSET
0,1
COMMENTS
For k=3, the sequence divided by 3 is equal to A066443.
FORMULA
a(n, 4) = 2^(1-4)*(sum(r=0 to Floor((4-1)/2))Binomial(4, r)*(4-2*r)^2n a(n, k) = 2^(1-k)*(sum(r=0 to Floor((k-1)/2))Binomial(k, r)*(k-2*r)^2n for k=1, 2, 3, 4, ...
CROSSREFS
Cf. A066443.
Essentially same as A092812. - Kang Seonghoon (lifthrasiir(AT)gmail.com), Oct 09 2008
Sequence in context: A074637 A371676 A379244 * A092812 A349516 A290575
KEYWORD
easy,nonn
AUTHOR
Jan Hagberg (jan.hagberg(AT)stat.su.se), Oct 16 2002
EXTENSIONS
Corrected by T. D. Noe, Nov 07 2006
STATUS
approved