A100153 - OEIS

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A100153

Structured truncated dodecahedral numbers.

1, 60, 276, 748, 1575, 2856, 4690, 7176, 10413, 14500, 19536, 25620, 32851, 41328, 51150, 62416, 75225, 89676, 105868, 123900, 143871, 165880, 190026, 216408, 245125, 276276, 309960, 346276, 385323, 427200, 472006, 519840 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,2`
	LINKS	`Vincenzo Librandi, Table of n, a(n) for n = 1..5000`
	FORMULA	`a(n) = (1/2)n(33n^2-41n+10).` `G.f.: x(1+56x+42*x^2)/(1-x)^4. - Colin Barker, Jan 19 2012`
	PROG	`(MAGMA) [(1/6)(99n^3-123n^2+30n): n in [1..40]]; // Vincenzo Librandi, Jul 19 2011`
	CROSSREFS	`Cf. A100152, A100154 for adjacent structured Archimedean solids; A100145 for more on structured polyhedral numbers.` `Sequence in context: A075295 A189542 A134587 * A059461 A160917 A100154` `Adjacent sequences: A100150 A100151 A100152 * A100154 A100155 A100156`
	KEYWORD	`nonn,easy`
	AUTHOR	`James A. Record (james.record(AT)gmail.com), Nov 07 2004`

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Last modified February 16 17:11 EST 2012. Contains 205938 sequences.