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A033431 2*n^3. +0
7
0, 2, 16, 54, 128, 250, 432, 686, 1024, 1458, 2000, 2662, 3456, 4394, 5488, 6750, 8192, 9826, 11664, 13718, 16000, 18522, 21296, 24334, 27648, 31250, 35152, 39366, 43904, 48778, 54000, 59582, 65536, 71874, 78608, 85750, 93312, 101306 (list; graph; listen)
OFFSET

0,2

COMMENT

Also the largest determinant of a 3 X 3 matrix with entries from {0..n}. - Jud McCranie (j.mccranie(AT)comcast.net), Aug 12 2001

4*a(n) is a perfect cube.

Number of permutations of 3 distinct letters (ABC) each with n copies such that 3n-3 remain fixed points. E.g. if AAAAABBBBBCCCCC (3*5=15 letters) then 15-3=12 fixed points n5=250 - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Feb 02 2006

Twice cubes. - Omar E. Pol (info(AT)polprimos.com), May 14 2008

FORMULA

a(n)=A000578(n)*2. - Omar E. Pol (info(AT)polprimos.com), May 14 2008

CROSSREFS

Cf. A000578.

Cf. A033581.

Sequence in context: A090453 A006885 A027273 this_sequence A107610 A091914 A123791

Adjacent sequences: A033428 A033429 A033430 this_sequence A033432 A033433 A033434

KEYWORD

nonn

AUTHOR

Jeff Burch (jmburch(AT)osprey.smcm.edu)

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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