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A008893 Equilateral triangles in hexagonal chunk of side n in hexagonal lattice. +0
2
0, 8, 66, 258, 710, 1590, 3108, 5516, 9108, 14220, 21230, 30558, 42666, 58058, 77280, 100920, 129608, 164016, 204858, 252890, 308910, 373758, 448316, 533508, 630300, 739700, 862758, 1000566, 1154258 (list; graph; listen)
OFFSET

0,2

COMMENT

The hexagonal lattice is the familiar 2-dimensional lattice in which each point has 6 neighbors. This is sometimes called the triangular lattice.

LINKS

G. Nebe and N. J. A. Sloane, Home page for hexagonal (or triangular) lattice A2

FORMULA

G.f.:-2*x*(4*x^2+13*x+4)/(x-1)^5 [From Maksym Voznyy (voznyy(AT)mail.ru), Aug 10 2009]

MAPLE

n*(n+1)*(7*n^2+7*n+2)/4;

CROSSREFS

Cf. A152041.

Sequence in context: A041114 A015496 A039329 this_sequence A121782 A121781 A121780

Adjacent sequences: A008890 A008891 A008892 this_sequence A008894 A008895 A008896

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), R. K. Guy

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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