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A052392
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T(2n+1,n), array T as in A054120.
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2
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1, 6, 39, 261, 1779, 12288, 85734, 602871, 4265859, 30338604, 216677490, 1552999242, 11164548078, 80471658192, 581340627372, 4208086875915, 30514467991011, 221620953353844, 1611867544369146
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OFFSET
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0,2
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LINKS
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FORMULA
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Empirical g.f.: (2*x^2-3*x+1)/(2*sqrt(4*x^2-8*x+1)*x)+(x-1)/(2*x).
Empirical recurrence: 8*n*a(n)+(-32-28*n)*a(1+n)+(78+30*n)*a(n+2)+(-45-11*n)*a(n+3)+(5+n)*a(n+4)=0. (End)
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MAPLE
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T:= proc(n, k) option remember;
if k=0 or k=n then return 1 fi;
if k > n then return 0 fi;
procname(n-1, k-1) + 2*procname(n-2, k-1) + procname(n-1, k)
end proc;
T(2, 1):= 3:
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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