A392844 Stellated octahemioctahedral numbers.

1, 45, 185, 469, 945, 1661, 2665, 4005, 5729, 7885, 10521, 13685, 17425, 21789, 26825, 32581, 39105, 46445, 54649, 63765, 73841, 84925, 97065, 110309, 124705, 140301, 157145, 175285, 194769, 215645, 237961, 261765, 287105, 314029, 342585, 372821, 404785, 438525, 474089, 511525, 550881

Offset

1,2

Comments

Robert Webb identifies this polyhedron as the first stellation of an octahemioctahedron, see the link "Stellated Octahemioctahedron."

Links

Table of n, a(n) for n=1..41.

Robert Webb, Stellated Octahemioctahedron.

Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Formula

a(n) = 8*n^3 - 12*n + 5.

Mathematica

a[n_] := 8*n^3 - 12*n + 5; Array[a, 40] (* Amiram Eldar, Feb 22 2026 *)

Crossrefs

Cf. A274974.

Sequence in context: A280887 A158630 A158634 * A091197 A184539 A146302

Adjacent sequences: A392841 A392842 A392843 * A392845 A392846 A392847

Keyword

nonn,easy

Author

Steven Beard, Feb 21 2026

Status

approved