A247488 Triangle read by rows: T(n,k) = abs(C(n-k, k)*hypergeom([k-n/2, k-n/2+1/2], [1], -4)).
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, 232, 231, 100, 5, 131, 1125, 1148, 175, 15, 1, 1409, 3650, 1044, 616, 175, 6, 3301, 1441, 5625, 3444, 350, 21, 1, 155, 16908, 20075, 3480, 1386, 280, 7
Offset: 0
Examples
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, 232, 231, 100, 5 131, 1125, 1148, 175, 15, 1 1409, 3650, 1044, 616, 175, 6
Crossrefs
Cf. A132885.