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Search: id:A131040
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| A131040 |
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a(n) = (1/2+1/2*I*sqrt(11))^n + (1/2-1/2*I*sqrt(11))^n. |
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+0
3
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| 1, -5, -8, 7, 31, 10, -83, -113, 136, 475, 67, -1358, -1559, 2515, 7192, -353, -21929, -20870, 44917, 107527, -27224, -349805, -268133, 781282, 1585681, -758165, -5515208, -3240713, 13304911, 23027050, -16887683, -85968833, -35305784
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Generating floretion is 1.5i' + .5j' + .5k' + .5e whereas in A131039 it is 'i + .5i' + .5j' + .5k' + .5e
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FORMULA
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a(n) = a(n-1) - 3*a(n-2); G.f. (1-6*x)/(3*x^2+1-x)
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MAPLE
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Floretion Algebra Multiplication Program, FAMP Code: 2tesseq[ 1.5i' + .5j' + .5k' + .5e]
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PROGRAM
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(Other) sage: [lucas_number2(n, 1, 3) for n in xrange(1, 34)]# [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), May 14 2009]
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CROSSREFS
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Cf. A131039, A131041, A131042, A002316, A002531.
Sequence in context: A019845 A053787 A039678 this_sequence A007450 A155735 A153611
Adjacent sequences: A131037 A131038 A131039 this_sequence A131041 A131042 A131043
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KEYWORD
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easy,sign
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jun 11 2007
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