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Stellated octahemioctahedral numbers.
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%I #23 Feb 26 2026 23:29:23

%S 1,45,185,469,945,1661,2665,4005,5729,7885,10521,13685,17425,21789,

%T 26825,32581,39105,46445,54649,63765,73841,84925,97065,110309,124705,

%U 140301,157145,175285,194769,215645,237961,261765,287105,314029,342585,372821,404785,438525,474089,511525,550881

%N Stellated octahemioctahedral numbers.

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

%H Robert Webb, <a href="https://robertlovespi.net/2023/10/18/the-octahemioctahedron-and-three-views-of-its-first-stellation/">Stellated Octahemioctahedron</a>.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (4,-6,4,-1).

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

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

%Y Cf. A274974.

%K nonn,easy

%O 1,2

%A _Steven Beard_, Feb 21 2026