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Search: id:A054444
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| A054444 |
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Even indexed members of A001629(n), n >= 2, (Fibonacci convolution). |
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+0
5
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| 1, 5, 20, 71, 235, 744, 2285, 6865, 20284, 59155, 170711, 488400, 1387225, 3916061, 10996580, 30737759, 85573315, 237387960, 656451269, 1810142185, 4978643596, 13661617195, 37409025455, 102238082976, 278920277425, 759695287349
(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)= ((2*n+1)*F(2*(n+1))+4*(n+1)*F(2*n+1))/5, with F(n)= A000045(n) (Fibonacci numbers).
G.f.: (1-x+x^2)/(1-3*x+x^2)^2.
a(n)=sum(k*binom(2n-2k+2, k), k=1..n+1) - Emeric Deutsch (deutsch(AT)duke.poly.edu), Jun 11 2003
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CROSSREFS
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Cf. A001870, A001629, A000045. a(n)= A060920(n+1, 1).
Adjacent sequences: A054441 A054442 A054443 this_sequence A054445 A054446 A054447
Sequence in context: A054889 A056384 A036683 this_sequence A121332 A122695 A066822
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 07 2000
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