A100155 Structured truncated octahedral numbers.

1, 24, 103, 272, 565, 1016, 1659, 2528, 3657, 5080, 6831, 8944, 11453, 14392, 17795, 21696, 26129, 31128, 36727, 42960, 49861, 57464, 65803, 74912, 84825, 95576, 107199, 119728, 133197, 147640, 163091, 179584

Offset

1,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Formula

a(n) = (1/3)*n*(17*n^2 - 18*n + 4).

G.f.: x*(1 + 20*x + 13*x^2)/(1-x)^4. - Colin Barker, Feb 12 2012

Prog

(Magma) [(1/6)*(34*n^3-36*n^2+8*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

Crossrefs

Cf. A100154, A100156 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers. Similar to truncated octahedral numbers A005910.

Sequence in context: A333033 A269047 A182675 * A304415 A268804 A186932

Adjacent sequences: A100152 A100153 A100154 * A100156 A100157 A100158

Keyword

easy,nonn

Author

James A. Record (james.record(AT)gmail.com), Nov 07 2004

Status

approved