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A085260 Ratio-determined insertion sequence I(0.0833344) (see the link below). +0
4
1, 12, 155, 2003, 25884, 334489, 4322473, 55857660, 721827107, 9327894731, 120540804396, 1557702562417, 20129592507025, 260127000028908, 3361521407868779, 43439651302265219, 561353945521579068 (list; graph; listen)
OFFSET

1,2

COMMENT

This sequence is the ratio-determined insertion sequence (RDIS) "twin" to A078362 (see the link for an explanation of "twin"). See A082630 or A082981 for recent examples of RDIS sequences.

a(n) = L(n,13), where L is defined as in A108299. - Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 01 2005

LINKS

Tanya Khovanova, Recursive Sequences

John W. Layman, Ratio-Determined Insertion Sequences and the Tree of their Recurrence Types

FORMULA

It appears that the sequence satisfies a(n)=13a(n)-a(n-1).

If the recurrence a(n+2)=13a(n+1)-a(n) holds then for n>0, a(n)a(n+3) = 143 + a(n+1)a(n+2). - R. Stephan, May 29 2004

CROSSREFS

Cf. A078362, A082630, A082981.

Row 13 of array A094954.

Adjacent sequences: A085257 A085258 A085259 this_sequence A085261 A085262 A085263

Sequence in context: A036360 A120657 A015612 this_sequence A082173 A005723 A097259

KEYWORD

nonn

AUTHOR

John W. Layman (layman(AT)math.vt.edu), Jun 23 2003

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Last modified May 15 13:16 EDT 2008. Contains 139641 sequences.


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