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Search: id:A081343
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| 1, 7, 58, 532, 5128, 50512, 502048, 5008192, 50032768, 500131072, 5000524288, 50002097152, 500008388608, 5000033554432, 50000134217728, 500000536870912, 5000002147483648, 50000008589934592, 500000034359738368
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Binomial transform of A025551. 7th binomial transform of (1,0,9,0,81,0,729,0,...).
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FORMULA
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a(n)=(10^n+4^n)/2. a(n)=14a(n-1)-40a(n-2), a(0)=1, a(1)=7. G.f.: (1-7x)/((1-4x)(1-10x)). E.g.f. exp(7x)cosh(3x).
((7+sqrt9)^n+(7-sqrt9)^n)/2 in Fibonacci form. [From Al Hakanson (hawkuu(AT)gmail.com), Dec 08 2008]
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CROSSREFS
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Cf. A081342.
Sequence in context: A015566 A006193 A139397 this_sequence A163048 A126130 A123766
Adjacent sequences: A081340 A081341 A081342 this_sequence A081344 A081345 A081346
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Mar 18 2003
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