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Search: id:A103644
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| A103644 |
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G.f. (3x+1)/(1+2x-6x^2-27x^3). |
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+0 3
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| 1, 1, 4, 25, 1, 256, 169, 1225, 5476, 961, 64009, 25600, 358801, 1164241, 515524, 15642025, 3243601, 101284096, 239228089, 216825625, 3736387876, 287336401, 27697946329, 47210598400
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A floretion-generated sequence of squares.
This sequence is also related to several other sequences of squares.
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
Creighton Dement, Online Floretion Multiplier [From Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 24 2009]
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FORMULA
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a(n+3) = -2a(n+2) + 6a(n+1) + 27a(n), a(0) = 1, a(1) = 1, a(2) = 4
a(n) = (1/11)*(2*3^n-(-5/2-(I*sqrt(11))/2)^n-(-5/2+(I*sqrt(11))/2)^n) [From Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), May 24 2009]
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP.
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CROSSREFS
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Cf. A103645.
Sequence in context: A092435 A058230 A162187 this_sequence A082202 A051514 A103363
Adjacent sequences: A103641 A103642 A103643 this_sequence A103645 A103646 A103647
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KEYWORD
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nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 11 2005
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EXTENSIONS
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Corrected by T. D. Noe (noe(AT)sspectra.com), Nov 07 2006
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