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A100154
Structured truncated icosahedral numbers.
3
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
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
KEYWORD
easy,nonn
AUTHOR
James A. Record (james.record(AT)gmail.com), Nov 07 2004
STATUS
approved