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A100160
Structured disdyakis triacontahedral numbers (vertex structure 5).
3
1, 62, 299, 828, 1765, 3226, 5327, 8184, 11913, 16630, 22451, 29492, 37869, 47698, 59095, 72176, 87057, 103854, 122683, 143660, 166901, 192522, 220639, 251368, 284825, 321126, 360387, 402724, 448253, 497090, 549351, 605152
OFFSET
1,2
LINKS
FORMULA
a(n) = (1/6)*(116*n^3 - 168*n^2 + 58*n).
G.f.: x*(1+x)*(1+57*x)/(1-x)^4. [Colin Barker, Apr 16 2012]
PROG
(Magma) [(1/6)*(116*n^3-168*n^2+58*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
CROSSREFS
Cf. A100158, A100159 = alternate vertices; A100145 for more on structured polyhedral numbers.
Sequence in context: A100158 A100166 A100159 * A223072 A010746 A124995
KEYWORD
easy,nonn
AUTHOR
James A. Record (james.record(AT)gmail.com), Nov 07 2004
STATUS
approved