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A100165 Structured rhombic triacontahedral numbers (vertex structure 7). +0
3
1, 32, 147, 400, 845, 1536, 2527, 3872, 5625, 7840, 10571, 13872, 17797, 22400, 27735, 33856, 40817, 48672, 57475, 67280, 78141, 90112, 103247, 117600, 133225, 150176, 168507, 188272, 209525, 232320, 256711, 282752 (list; graph; listen)
OFFSET

1,2

COMMENT

Also structured pentakis dodecahedral numbers (vertex structure 7) (Cf. A100173 = alternate vertex).

FORMULA

a(n)=(1/6)*(54*n^3-72*n^2+24*n)

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

a(n)=(3*(n-1)+1)^2*(3*(n-1)+3)/3

G.f.:x*(1+28*x+25*x^2)/(1-x)^4 (End)

CROSSREFS

Cf. A100164 = alternate vertex; A100145 for more on structured numbers.

Sequence in context: A100164 A048191 A097199 this_sequence A100173 A100172 A124998

Adjacent sequences: A100162 A100163 A100164 this_sequence A100166 A100167 A100168

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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