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A052153 Rhombi (in 3 different orientations) in a rhombus with 60 degree acute angles. 1
1, 9, 26, 54, 95, 151, 224, 316, 429, 565, 726, 914, 1131, 1379, 1660, 1976, 2329, 2721, 3154, 3630, 4151, 4719, 5336, 6004, 6725, 7501, 8334, 9226, 10179, 11195, 12276, 13424, 14641, 15929, 17290, 18726, 20239, 21831, 23504, 25260 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

See link for corrections to table in Ask Dr. Math link.

LINKS

Ask Dr. Math, Finding Rhombi in a Rhombus, Source, about 2/3rds down, message dated 01/18/2000.

Ray Chandler, Corrections to table in Ask Dr. Math link.

FORMULA

a(n) = A000330(n) + A046092(n-1).

MATHEMATICA

Table[n*(n+1)*(2n+1)/6+2n*(n-1), {n, 50}] (* Ray Chandler, May 05 2011 *)

CROSSREFS

Cf. A000330, A000537, A006003, A046092.

Sequence in context: A075395 A085367 A081267 * A154560 A048468 A048771

Adjacent sequences:  A052150 A052151 A052152 * A052154 A052155 A052156

KEYWORD

nonn

AUTHOR

Tom Gray (TGray9278(AT)aol.com), Jan 24 2000

EXTENSIONS

Better description from Larry Reeves (larryr(AT)acm.org), Mar 21 2001

Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 05 2011

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.