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A031940 Length of longest legal domino snake using full set of dominoes up to [n:n]. +0
2
1, 3, 6, 9, 15, 19, 28, 33, 45, 51, 66, 73, 91, 99, 120, 129, 153, 163, 190, 201, 231, 243, 276, 289, 325, 339, 378, 393, 435, 451, 496, 513, 561, 579, 630, 649, 703, 723, 780, 801 (list; graph; listen)
OFFSET

1,2

LINKS

Index entries for sequences related to dominoes

FORMULA

C(n, 2)+n if n odd, C(n, 2)+n/2+1 if n even. - T. D. Noe (noe(AT)sspectra.com), Nov 09 2006

EXAMPLE

E.g. for n=4 [ 1:1 ][ 1:2 ][ 2:2 ][ 2:3 ][ 3:3 ][ 3:1 ][ 1:4 ][ 4:4 ][ 4:2 ].

CROSSREFS

Cf. A031878.

Sequence in context: A000741 A133205 A049991 this_sequence A007187 A082004 A112773

Adjacent sequences: A031937 A031938 A031939 this_sequence A031941 A031942 A031943

KEYWORD

nonn

AUTHOR

Colin L. Mallows (colinm(AT)research.avayalabs.com)

EXTENSIONS

Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 09 2006

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Last modified July 4 13:19 EDT 2008. Contains 140839 sequences.


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