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A100177 Structured meta-prism numbers, the n-th number from a structured n-gonal prism number sequence. +0
8
1, 4, 18, 64, 175, 396, 784, 1408, 2349, 3700, 5566, 8064, 11323, 15484, 20700, 27136, 34969, 44388, 55594, 68800, 84231, 102124, 122728, 146304, 173125, 203476, 237654, 275968, 318739, 366300, 418996, 477184 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=(1/6)*(3*n^4-9*n^3+12*n^2)

EXAMPLE

There are no 1- or 2-gonal prisms, so 1 and (2n) are used as the first and second terms since all the sequences begin as such.

CROSSREFS

Cf. A002411, A000578, A050509, A006597, A100176, A100177 - structured prisms; A006484 for other meta structured numbers; and A100145 for more on structured numbers.

Sequence in context: A073373 A057414 A165910 this_sequence A083321 A022728 A115112

Adjacent sequences: A100174 A100175 A100176 this_sequence A100178 A100179 A100180

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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