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Search: id:A103646
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| A103646 |
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G.f. 9*(3x+1)/(1+2x-6x^2-27x^3). |
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+0
1
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| 9, 9, 36, 225, 9, 2304, 1521, 11025, 49284, 8649, 576081, 230400, 3229209, 10478169, 4639716, 140778225, 29192409, 911556864, 2153052801, 1951430625, 33627490884, 2586027609, 249281516961, 424895385600, 715721076009, 7848531119529
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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A floretion-generated sequence of squares. This sequence is related to several other sequences of squares: a(n) = 9*A103644(n) and 4*3^(n+1) = 2*A103644(n) + a(n) + A103645(n) = 11*A103644(n) + A103645(n)
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n+3) = -2a(n+2) + 6a(n+1) + 27a(n), a(0) = 9, a(1) = 9, a(2) = 36
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MATHEMATICA
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CoefficientList[ Series[9(3x + 1)/(1 + 2x - 6x^2 - 27x^3), {x, 0, 25}], x] (from Robert G. Wilson v Feb 12 2005)
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP Code: 4ibaseiseq[ x*(+ 'i + 'j + i' + j' + 'ii' + 'jj' + 'ij' + 'ji' + e) ] where x is the sum of all (16) floretion basis vectors.
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CROSSREFS
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Cf. A103644, A103645.
Sequence in context: A145954 A003874 A097988 this_sequence A111219 A152752 A095344
Adjacent sequences: A103643 A103644 A103645 this_sequence A103647 A103648 A103649
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 12 2005
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EXTENSIONS
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Corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 12 2005
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