A100149 Structured small rhombicubeoctahedral numbers.

1, 24, 106, 284, 595, 1076, 1764, 2696, 3909, 5440, 7326, 9604, 12311, 15484, 19160, 23376, 28169, 33576, 39634, 46380, 53851, 62084, 71116, 80984, 91725, 103376, 115974, 129556, 144159, 159820, 176576, 194464

Offset

1,2

Links

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

Formula

a(n) = (1/6)*(37*n^3 - 45*n^2 + 14*n).

G.f.: x*(1 + 20*x + 16*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012

Prog

(Magma) [(1/6)*(37*n^3-45*n^2+14*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

Crossrefs

Cf. A100148, A100150 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.

Sequence in context: A044656 A011199 A213874 * A013980 A100150 A305950

Adjacent sequences: A100146 A100147 A100148 * A100150 A100151 A100152

Keyword

nonn,easy

Author

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

Status

approved