A379823 a(n) = (-1)^n * hypergeom([-n, n/2 + 1, n/2 + 1/2], [1, n + 2], 4). Central terms of A379907.

1, 1, 4, 17, 76, 352, 1667, 8017, 38992, 191276, 944648, 4690688, 23396023, 117130483, 588267604, 2962532945, 14954741680, 75647585152, 383359922324, 1945925312492, 9891894347360, 50350481125000, 256592858798416, 1309047896676352, 6684914267741951, 34168808617063927

Offset: 0

Author

Peter Luschny, Jan 06 2025

Keywords

• nonn

Crossrefs

Cf. A379907.

Programs

Maple

seq(simplify((-1)^n*hypergeom([-n, n/2 + 1, n/2 + 1/2], [1, n + 2], 4)), n = 0..25);