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Search: id:A147838
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| A147838 |
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a(n)=8*a(n-1)-6*a(n-2), a(0)=1, a(1)=6 . |
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+0
3
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| 1, 6, 42, 300, 2148, 15384, 110184, 789168, 5652240, 40482912, 289949856, 2076701376, 14873911872, 106531086720, 763005222528, 5464855259904, 39140810744064, 280337354393088, 2007853970680320, 14380807639084032
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OFFSET
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0,2
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FORMULA
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a(n)=Sum_{k, 0<=k<=n}A147703(n,k)*5^k . G.f.: (1-2x)/(1-8x+6*x^2).
a(n)=(1/2)*[4-sqrt(10)]^n+(1/2)*[4+sqrt(10)]^n+(1/10)*[4+sqrt(10)]^n*sqrt(10)-(1/10)*[4 -sqrt(10)]^n*sqrt(10), with n>=0 [From Paolo P. Lava (ppl(AT)spl.at), Nov 18 2008]
a(n)= ((5+sqrt(10))/10)*(4+sqrt(10))^n + ((5-sqrt(10))/10)*(4-sqrt(10))^n [From Richard Choulet (richardchoulet(AT)yahoo.fr), Nov 20 2008]
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CROSSREFS
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Sequence in context: A156361 A055272 A155196 this_sequence A127628 A111602 A091164
Adjacent sequences: A147835 A147836 A147837 this_sequence A147839 A147840 A147841
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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), Nov 14 2008
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