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Search: id:A015548
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A015548 Linear 2nd order recurrence. +0
1
0, 1, 5, 37, 245, 1669, 11285, 76453, 517685, 3505861, 23741525, 160777957, 1088788085, 7373275909, 49931836565, 338138493733, 2289874507445, 15507034462021, 105013666399445, 711152745541477, 4815927724500725 (list; graph; listen)
OFFSET

0,3

FORMULA

a(n) = 5 a(n-1) + 12 a(n-2).

a(n)=(1/73)*[5/2+(1/2)*sqrt(73)]^n*sqrt(73)-(1/73)*[5/2-(1/2)*sqrt(73)]^n*sqrt(73) , with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Aug 06 2008]

CROSSREFS

Equals 2*A099919 + 1.

Adjacent sequences: A015545 A015546 A015547 this_sequence A015549 A015550 A015551

Sequence in context: A095924 A088582 A088583 this_sequence A054417 A080507 A108049

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified October 9 14:06 EDT 2008. Contains 144831 sequences.


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