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A068293 1/4 the number of colorings of an n X n octagonal array with 4 colors. +0
1
1, 6, 18, 42, 90, 186, 378, 762, 1530, 3066, 6138, 12282, 24570, 49146, 98298, 196602, 393210, 786426, 1572858, 3145722, 6291450, 12582906, 25165818, 50331642, 100663290, 201326586, 402653178, 805306362, 1610612730 (list; graph; listen)
OFFSET

1,2

FORMULA

G.f.: (1+x)*(1+2*x)/(1-x)/(1-2*x) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 13 2002

PROGRAM

(PARI) a(n)=polcoeff(prod(i=1, 2, (1+i*x))/(prod(i=1, 2, (1-i*x))+x*O(x^n)), n) for(n=0, 50, print1(a(n), ", "))

CROSSREFS

Cf. A068239-A068305, A000332, A002417, A027441.

Adjacent sequences: A068290 A068291 A068292 this_sequence A068294 A068295 A068296

Sequence in context: A015942 A009945 A011930 this_sequence A009957 A011929 A070735

KEYWORD

nonn

AUTHOR

Ron Hardin (rhh(AT)cadence.com), Feb 24 2002

EXTENSIONS

More terms from Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 13 2002

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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