A100154 Structured truncated icosahedral numbers.

1, 60, 282, 772, 1635, 2976, 4900, 7512, 10917, 15220, 20526, 26940, 34567, 43512, 53880, 65776, 79305, 94572, 111682, 130740, 151851, 175120, 200652, 228552, 258925, 291876, 327510, 365932, 407247, 451560, 498976, 549600

Offset

1,2

Links

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

Formula

a(n) = (1/2)*n*(35*n^2 - 47*n + 14).

G.f.: x*(1 + 56*x + 48*x^2)/(1-x)^4. - Colin Barker, Feb 12 2012

Prog

(Magma) [(1/6)*(105*n^3-141*n^2+42*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011

Crossrefs

Cf. A100153, A100155 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers.

Sequence in context: A059461 A328156 A160917 * A246230 A100148 A100151

Adjacent sequences: A100151 A100152 A100153 * A100155 A100156 A100157

Keyword

easy,nonn

Author

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

Status

approved