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Search: id:A100146
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A100146 Structured great rhombicubeoctahedral numbers. +0
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; listen)
OFFSET

1,2

FORMULA

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

Contribution from Jaume Oliver Lafont (joliverlafont(AT)gmail.com), Sep 08 2009: (Start)

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 (End)

CROSSREFS

Cf. A100145, A100147 for adjacent structured Archimedean solids; and A100145 for more on structured polyhedral numbers.

Sequence in context: A157923 A072254 A062248 this_sequence A157913 A052683 A115056

Adjacent sequences: A100143 A100144 A100145 this_sequence A100147 A100148 A100149

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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