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Search: id:A155000
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| A155000 |
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a(n)=8*a(n-1)+56*a(n-2), n>2 ; a(0)=1, a(1)=1, a(2)=15 |
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+0
3
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| 1, 1, 15, 176, 2248, 27840, 348608, 4347904, 54305280, 677924864, 8464494592, 105679749120, 1319449690112, 16473663471616, 205678490419200, 2567953077764096, 32061620085587968, 400298333039493120
(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)=Sum_{k, 0<=k<=n}A155112(n,k)*7^(n-k). [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Jan 27 2009]
a(n)=(11/24)*sqrt(2)*{[4+6*sqrt(2)]^(n-1)-[4-6*sqrt(2)]^(n-1)}+(1/2)*{[4+6*sqrt(2)]^(n-1)+[4-6*sqrt(2)]^(n-1)}+7/8*[C(2*n,n) mod 2], with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Jan 26 2009]
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CROSSREFS
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Sequence in context: A024197 A071535 A081043 this_sequence A009146 A012800 A016216
Adjacent sequences: A154997 A154998 A154999 this_sequence A155001 A155002 A155003
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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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