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A100146 Structured great rhombicubeoctahedral numbers. 3
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; text; internal format)
OFFSET

1,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

FORMULA

a(n) = (1/6)*(80*n^3 - 102*n^2 + 28*n).

a(n) = ((n-1)+1)*(5*(n-1)+3)*(8*(n-1)+1)/3; g.f.: x*(1 + 44*x + 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: A260062 A235759 A062248 * A235542 A269014 A265422

Adjacent sequences:  A100143 A100144 A100145 * A100147 A100148 A100149

KEYWORD

easy,nonn

AUTHOR

James A. Record (james.record(AT)gmail.com), Nov 07 2004

STATUS

approved

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Last modified September 18 13:54 EDT 2021. Contains 347527 sequences. (Running on oeis4.)