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A094195
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G.f.: (1-4*x)/((1-5*x)*(1-x)^2).
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1
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1, 3, 10, 42, 199, 981, 4888, 24420, 122077, 610359, 3051766, 15258798, 76293955, 381469737, 1907348644, 9536743176, 47683715833, 238418579115, 1192092895522, 5960464477554, 29802322387711, 149011611938493, 745058059692400, 3725290298461932, 18626451492309589
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| An approximation to A091843.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and A. R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence, J. Integer Sequences, Vol. 10 (2007), #07.1.2.
F. J. van de Bult, D. C. Gijswijt, J. P. Linderman, N. J. A. Sloane and A. R. Wilks, A Slow-Growing Sequence Defined by an Unusual Recurrence [pdf, ps].
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FORMULA
| (5^(n+1)+12n+11)/16.
a(0)=1, a(1)=3, a(2)=10, a(n)=7*a(n-1)-11*a(n-2)+5*a(n-3) [From Harvey P. Dale, Dec 31 2011]
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MATHEMATICA
| CoefficientList[Series[(1-4x)/((1-5x)(1-x)^2), {x, 0, 30}], x] (* or *) LinearRecurrence[{7, -11, 5}, {1, 3, 10}, 30] (* From Harvey P. Dale, Dec 31 2011 *)
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CROSSREFS
| Cf. A047926, A073724, A091843, A090822. A row of A094250.
Sequence in context: A074511 A000249 A107594 * A091843 A007552 A125274
Adjacent sequences: A094192 A094193 A094194 * A094196 A094197 A094198
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Jun 01 2004
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