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A247488 Triangle read by rows: T(n,k) = abs(C(n-k, k)*hypergeom([k-n/2, k-n/2+1/2], [1], -4)).

%I A247488 #9 Sep 18 2014 06:55:57
%S A247488 1,1,1,1,5,2,5,3,1,11,20,3,41,25,6,1,29,66,50,4,125,287,75,10,1,365,
%T A247488 232,231,100,5,131,1125,1148,175,15,1,1409,3650,1044,616,175,6,3301,
%U A247488 1441,5625,3444,350,21,1,155,16908,20075,3480,1386,280,7
%N A247488 Triangle read by rows: T(n,k) = abs(C(n-k, k)*hypergeom([k-n/2, k-n/2+1/2], [1], -4)).
%e A247488                1
%e A247488                1
%e A247488               1, 1
%e A247488               5, 2
%e A247488             5, 3, 1
%e A247488            11, 20, 3
%e A247488           41, 25, 6, 1
%e A247488          29, 66, 50, 4
%e A247488       125, 287, 75, 10, 1
%e A247488      365, 232, 231, 100, 5
%e A247488   131, 1125, 1148, 175, 15, 1
%e A247488 1409, 3650, 1044, 616, 175, 6
%p A247488 A247488 := (n, k) -> abs(binomial(n-k, k)*hypergeom([k-n/2, k-n/2+1/2], [1], -4)): seq(print(seq(round(evalf(A247488(n,k))), k=0..iquo(n,2))), n =0..19);
%Y A247488 Cf. A132885.
%K A247488 nonn,tabf
%O A247488 0,5
%A A247488 _Peter Luschny_, Sep 18 2014