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A027047 a(n) = Sum_{k=0..2n-1} T(n,k) * T(n,k+1), with T given by A027023. 2
2, 8, 50, 336, 2418, 18088, 138850, 1086016, 8617122, 69159896, 560290322, 4574820624, 37603654098, 310873702392, 2582964183874, 21556333188288, 180609299685954, 1518572497996568, 12808849866774002, 108351496132761104, 918964407713589618, 7812768025080427672 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MAPLE
T:= proc(n, k) option remember;
if k<3 or k=2*n then 1
else add(T(n-1, k-j), j=1..3)
fi
end:
seq(add(T(n, k)*T(n, k+1), k=0..2*n-1), n=1..30); # G. C. Greubel, Nov 04 2019
MATHEMATICA
T[n_, k_]:= T[n, k]= If[k<3 || k==2*n, 1, Sum[T[n-1, k-j], {j, 3}]]; Table[Sum[T[n, k]*T[n, k+1], {k, 0, 2*n-1}], {n, 1, 30}] (* G. C. Greubel, Nov 04 2019 *)
PROG
(Sage)
@CachedFunction
def T(n, k):
if (k<3 or k==2*n): return 1
else: return sum(T(n-1, k-j) for j in (1..3))
[sum(T(n, k)*T(n, k+1) for k in (0..2*n-1)) for n in (1..30)] # G. C. Greubel, Nov 04 2019
CROSSREFS
Sequence in context: A046165 A227264 A114619 * A034491 A360949 A231352
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Sean A. Irvine, Oct 22 2019
STATUS
approved

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Last modified April 14 16:48 EDT 2024. Contains 371666 sequences. (Running on oeis4.)