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Search: id:A019485
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A019485 a(n) = 2*a(n-1) + 2*a(n-2) - 3*a(n-3). +0
1
2, 5, 12, 28, 65, 150, 346, 797, 1836, 4228, 9737, 22422, 51634, 118901, 273804, 630508, 1451921, 3343446, 7699210, 17729549, 40827180, 94015828, 216497369, 498544854, 1148036962, 2643671525, 6087782412, 14018796988 (list; graph; listen)
OFFSET

0,1

REFERENCES

R. K. Guy, personal communication.

FORMULA

a(n)=-(1/3)+(7/6)*[1/2-(1/2)*sqrt(13)]^n+(7/6)*[1/2+(1/2)*sqrt(13)]^n+(25/78)*sqrt(13)*[1/2+(1/2) *sqrt(13)]^n-(25/78)*[1/2-(1/2)*sqrt(13)]^n*sqrt(13), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jul 31 2008]

CROSSREFS

Adjacent sequences: A019482 A019483 A019484 this_sequence A019486 A019487 A019488

Sequence in context: A045623 A001410 A019486 this_sequence A018914 A129519 A034943

KEYWORD

nonn

AUTHOR

njas

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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