

A274973


Centered cubohemioctahedral numbers: a(n) = 2*n^3+9*n^2+n+1.


2



1, 13, 55, 139, 277, 481, 763, 1135, 1609, 2197, 2911, 3763, 4765, 5929, 7267, 8791, 10513, 12445, 14599, 16987, 19621, 22513, 25675, 29119, 32857, 36901, 41263, 45955, 50989, 56377, 62131, 68263, 74785, 81709, 89047, 96811, 105013, 113665, 122779, 132367
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OFFSET

0,2


COMMENTS

A faceting of the cuboctahedron, sharing the same square faces. The cubohemioctahedron has the same edge and vertex arrangement as the cuboctahedron. Beginning with the fourth term, the eight tetrahedral faces are each now "missing" a tetrahedron of size 1,4,10,20,35...(A000292). See A274974 centered octahemioctahedron for similar cuboctahedral faceting but with the square faces "missing."


LINKS

Table of n, a(n) for n=0..39.
Wikipedia, Cubohemioctahedron
Index entries for linear recurrences with constant coefficients, signature (4,6,4,1).


FORMULA

a(n) = 2*n^3+9*n^2+n+1.
G.f.: (7*x^3+9*x^2+9*x+1)/(x1)^4.


MATHEMATICA

Table[2 n^3 + 9 n^2 + n + 1, {n, 40}] (* Michael De Vlieger, Jul 13 2016 *)


PROG

(PARI) a(n)=2*n^3+9*n^2+n+1 \\ Charles R Greathouse IV, Jul 14 2016


CROSSREFS

Cf. A005902 (centered cuboctahedral numbers), A274974 (centered octahemioctahedral numbers).
Sequence in context: A198160 A029531 A158485 * A005902 A051798 A206372
Adjacent sequences: A274970 A274971 A274972 * A274974 A274975 A274976


KEYWORD

nonn,easy


AUTHOR

Steven Beard, Jul 13 2016


STATUS

approved



