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Search: id:A099603
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| A099603 |
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Row sums of triangle A099602, in which row n equals the inverse binomial transform of column n of the triangle of trinomial coefficients (A027907). |
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3
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| 1, 2, 4, 12, 20, 64, 104, 336, 544, 1760, 2848, 9216, 14912, 48256, 78080, 252672, 408832, 1323008, 2140672, 6927360, 11208704, 36272128, 58689536, 189923328, 307302400, 994451456, 1609056256, 5207015424, 8425127936, 27264286720
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n) = fibonacci(n+1)*2^[(n+1)/2]. a(n) = 6*a(n-2) - 4*a(n-4) for n>4. G.f.: (1+2*x-2*x^2)/(1-6*x^2+4*x^4).
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EXAMPLE
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Sequence begins: {1*1, 1*2, 2*2, 3*4, 5*4, 8*8, 13*8, 21*16, 34*16, ...}.
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PROGRAM
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(PARI) a(n)=fibonacci(n+1)*2^((n+1)\2)
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CROSSREFS
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Cf. A000045, A099602.
Sequence in context: A090922 A056228 A121569 this_sequence A062767 A052416 A059322
Adjacent sequences: A099600 A099601 A099602 this_sequence A099604 A099605 A099606
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Oct 25 2004
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