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A100189 Equatorial structured meta-anti-diamond numbers, the n-th number from an equatorial structured n-gonal anti-diamond number sequence. +0
3
1, 6, 27, 92, 245, 546, 1071, 1912, 3177, 4990, 7491, 10836, 15197, 20762, 27735, 36336, 46801, 59382, 74347, 91980, 112581, 136466, 163967, 195432, 231225, 271726, 317331, 368452, 425517, 488970, 559271, 636896 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n)=(1/6)*(4*n^4-12*n^3+20*n^2-6*n)

EXAMPLE

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

CROSSREFS

Cf. A000578, A096000, A051673, A005915, A100186, A100187 - "equatorial" structured anti-diamonds; A100188 - "polar" structured meta-anti-diamond numbers; A006484 for other structured meta numbers; and A100145 for more on structured numbers.

Sequence in context: A100188 A131985 A125196 this_sequence A052267 A038166 A121596

Adjacent sequences: A100186 A100187 A100188 this_sequence A100190 A100191 A100192

KEYWORD

easy,nonn

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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