A394068 Number of pinnacle sets in the n-antiprism graph.

0, 1, 2, 4, 13, 38, 98, 337, 1062, 2974, 10468, 34120, 99658, 355369, 1181126, 3540464, 12731141, 42860534, 130771376, 473018396, 1607076200, 4967127736, 18045744424, 61732449648, 192696614730, 702457703961, 2415935640198, 7600482116932, 27782297425063

Offset

1,3

Comments

Sequence extended to a(0)-a(2) using the formula.

Links

Table of n, a(n) for n=1..29.

Eric Weisstein's World of Mathematics, Antiprism Graph.

Eric Weisstein's World of Mathematics, Pinnacle Set.

Formula

a(n) = A126042(2*n-3).

Mathematica

Table[Sum[(2 n - 3 k + 1) Binomial[2 n - 3, k - 1]/(2 n - k - 1), {k, Floor[2 n/3]}], {n, 20}]

Crossrefs

Sequence in context: A148252 A268698 A174604 * A148253 A385272 A392392

Adjacent sequences: A394065 A394066 A394067 * A394071 A394072 A394073

Keyword

nonn

Author

Eric W. Weisstein, Apr 06 2026

Status

approved