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A085376
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Ratio-dependent insertion sequence I(0.36704) (see the link below).
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1, 3, 11, 30, 109, 297, 1079, 2940, 10681, 29103, 105731, 288090, 1046629, 2851797, 10360559, 28229880, 102558961, 279447003, 1015229051, 2766240150, 10049731549, 27382954497, 99482086439, 271063304820, 984771132841
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| This sequence is the ratio-determined insertion sequence (RDIS) "twin" of I(0.37802)=A080874 and "child" of I(0.33344)=A001835 and I(0.38208)=A001906 in the RDIS recurrence tree (see the link for an explanation of terms). See A082630, A082981, A085348 and A085349 for recent examples of RDIS sequences.
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LINKS
| John W. Layman, Ratio-Determined Insertion Sequences and the Tree of their Recurrence Types
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FORMULA
| It is conjectured that a(n)=10a(n-2)-a(n-4).
Apparently a(n)a(n+3) = -3 + a(n+1)a(n+2). - R. Stephan, May 29 2004
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CROSSREFS
| Cf. A001835, A001906, A080874, A082630, A082981, A085348, A085349.
Sequence in context: A106397 A098150 A167375 * A196233 A009131 A003554
Adjacent sequences: A085373 A085374 A085375 * A085377 A085378 A085379
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KEYWORD
| nonn
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AUTHOR
| John W. Layman (layman(AT)math.vt.edu), Jun 26 2003
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