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A109165
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a(n) = 5*a(n-2) - 2*a(n-4), n >= 4; a(n) = (1/6)*(-1)^n + 4/3)*2^n - 1/2.
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0
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1, 2, 5, 10, 23, 46, 105, 210, 479, 958, 2185, 4370, 9967, 19934, 45465, 90930, 207391, 414782, 946025, 1892050, 4315343, 8630686, 19684665, 39369330, 89792639, 179585278, 409593865, 819187730, 1868384047, 3736768094, 8522732505
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..30.
Index entries for linear recurrences with constant coefficients, signature (0,5,0,-2).
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FORMULA
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a(2n) = A107839(n), a(2n+1) = A106709(n+1), a(n) - a(n-1) = A005824(n+2).
G.f. (2*x+1)/(1-5*x^2+2*x^4)
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PROG
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Floretion Algebra Multiplication Program, FAMP Code: 4kbaseksigcycsumseq[ - .25'i - .25i' + .25'ii' + .25'jj' + .25'kk' + .25'jk' + .25'kj' + .25e], sumtype: (Y[15], *, vesy)
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CROSSREFS
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Cf. A107839, A106709, A005824, A054486.
Sequence in context: A191386 A323988 A026677 * A018344 A284181 A291249
Adjacent sequences: A109162 A109163 A109164 * A109166 A109167 A109168
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KEYWORD
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easy,nonn,changed
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AUTHOR
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Creighton Dement, Aug 18 2005
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STATUS
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approved
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