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Search: id:A154999
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| A154999 |
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a(n)=7*a(n-1)+42*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=13 . |
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+0
3
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| 1, 1, 13, 133, 1477, 15925, 173509, 1883413, 20471269, 2224022229, 2416608901, 26257155925, 285297665317, 3099884206069, 33681691385797, 365966976355477, 3976399872691813, 43205412115772725, 469446679463465221
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n+1)=Sum_{k, 0<=k<=n}A154929(n,k)*6^(n-k).
a(n)=(19/434)*sqrt(217)*{[(7/2)+(1/2)*sqrt(217)]^(n-1)-[(7/2)-(1/2)*sqrt(217)]^(n-1)} +(1/2)*{[(7/2)+(1/2)*sqrt(217)]^(n-1)+[(7/2)-(1/2)*sqrt(217)]^(n-1)}+(6/7)*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 20 2009]
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CROSSREFS
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Sequence in context: A031138 A097166 A073556 this_sequence A132935 A132930 A130774
Adjacent sequences: A154996 A154997 A154998 this_sequence A155000 A155001 A155002
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KEYWORD
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nonn
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AUTHOR
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Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 18 2009
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EXTENSIONS
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More terms from Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 27 2009
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