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A052392 T(2n+1,n), array T as in A054120. 2
1, 6, 39, 261, 1779, 12288, 85734, 602871, 4265859, 30338604, 216677490, 1552999242, 11164548078, 80471658192, 581340627372, 4208086875915, 30514467991011, 221620953353844, 1611867544369146 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Robert Israel, Table of n, a(n) for n = 0..1145

FORMULA

From Robert Israel, Nov 26 2018: (Start)

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)

MAPLE

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:

seq(T(2*n+1, n), n=0..30); # Robert Israel, Nov 26 2018

CROSSREFS

Sequence in context: A090018 A238809 A006256 * A199491 A147961 A264232

Adjacent sequences:  A052389 A052390 A052391 * A052393 A052394 A052395

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified June 30 18:10 EDT 2022. Contains 354945 sequences. (Running on oeis4.)