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A100151
Structured snub dodecahedral numbers.
3
1, 60, 286, 788, 1675, 3056, 5040, 7736, 11253, 15700, 21186, 27820, 35711, 44968, 55700, 68016, 82025, 97836, 115558, 135300, 157171, 181280, 207736, 236648, 268125, 302276, 339210, 379036, 421863, 467800, 516956, 569440
OFFSET
1,2
LINKS
FORMULA
a(n) = (1/6)*n*(109*n^2 - 153*n + 50).
G.f.: x*(1 + 56*x + 52*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012
PROG
(Magma) [(1/6)*(109*n^3-153*n^2+50*n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011
CROSSREFS
Cf. A100150, A100152 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.
Sequence in context: A100154 A246230 A100148 * A338109 A179811 A268805
KEYWORD
easy,nonn
AUTHOR
James A. Record (james.record(AT)gmail.com), Nov 07 2004
STATUS
approved