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A100188 Polar structured meta-anti-diamond numbers, the n-th number from a polar structured n-gonal anti-diamond number sequence. +0
15
1, 6, 27, 84, 205, 426, 791, 1352, 2169, 3310, 4851, 6876, 9477, 12754, 16815, 21776, 27761, 34902, 43339, 53220, 64701, 77946, 93127, 110424, 130025, 152126, 176931, 204652, 235509, 269730, 307551, 349216 (list; graph; listen)
OFFSET

1,2

FORMULA

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

EXAMPLE

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

CROSSREFS

Cf. A000578, A000447, A004466, A007588, A063521, A062523 - "polar" structured anti-diamonds; A100189 - "equatorial" structured meta-anti-diamond numbers; A006484 for other structured meta numbers; and A100145 for more on structured numbers.

Sequence in context: A136105 A027313 A124089 this_sequence A131985 A125196 A100189

Adjacent sequences: A100185 A100186 A100187 this_sequence A100189 A100190 A100191

KEYWORD

easy,nonn

AUTHOR

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

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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