A100146 - OEIS

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A100146

Structured great rhombicubeoctahedral numbers.

1, 48, 221, 600, 1265, 2296, 3773, 5776, 8385, 11680, 15741, 20648, 26481, 33320, 41245, 50336, 60673, 72336, 85405, 99960, 116081, 133848, 153341, 174640, 197825, 222976, 250173, 279496, 311025, 344840, 381021, 419648 (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) = (1/6)(80n^3-102n^2+28n)` `a(n) = ((n-1)+1)(5(n-1)+3)(8(n-1)+1)/3; g.f.: x(1+44x+35*x^2)/(1-x)^4. [Jaume Oliver Lafont, Sep 08 2009]`
	PROG	`(MAGMA) [((n-1)+1)(5(n-1)+3)(8(n-1)+1)/3: n in [1..40]]; // Vincenzo Librandi, Jul 19 2011`
	CROSSREFS	`Cf. A100145, A100147 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.` `Sequence in context: A072254 A183683 A062248 * A157913 A181773 A052683` `Adjacent sequences: A100143 A100144 A100145 * A100147 A100148 A100149`
	KEYWORD	`easy,nonn`
	AUTHOR	`James A. Record (james.record(AT)gmail.com). Nov 07, 2004.`

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Last modified February 15 14:57 EST 2012. Contains 205823 sequences.