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A226555
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Numerators of row sums of the triangular enumeration of rational numbers A226314(n,k) / A054531(n,k), 1 <= k <= n.
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3
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1, 5, 4, 13, 7, 25, 10, 33, 17, 45, 16, 69, 19, 65, 38, 81, 25, 109, 28, 125, 55, 105, 34, 177, 53, 125, 68, 181, 43, 241, 46, 193, 89, 165, 100, 301, 55, 185, 106, 321, 61, 349, 64, 293, 167, 225, 70, 433, 109, 341, 140, 349, 79, 433, 162, 465, 157, 285, 88
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OFFSET
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1,2
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LINKS
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EXAMPLE
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. -- -------------------------------------------------------- --------
. 1: 1 1
. 2: 1/2 2 5/2
. 3: 1/3 2/3 3 4
. 4: 1/4 3/2 3/4 4 13/2
. 5: 1/5 2/5 3/5 4/5 5 7
. 6: 1/6 4/3 5/2 5/3 5/6 6 25/2
. 7: 1/7 2/7 3/7 4/7 5/7 6/7 7 10
. 8: 1/8 5/4 3/8 7/2 5/8 7/4 7/8 8 33/2
. 9: 1/9 2/9 7/3 4/9 5/9 8/3 7/9 8/9 9 17
. 10: 1/10 6/5 3/10 7/5 9/2 8/5 7/10 9/5 9/10 10 45/2
. 11: 1/11 2/11 3/11 4/11 5/11 6/11 7/11 8/11 9/11 10/11 11 16
. 12: 1/12 7/6 9/4 10/3 5/12 11/2 7/12 11/3 11/4 11/6 11/12 12 69/2 .
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PROG
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(Haskell)
import Data.Ratio ((%), numerator); import Data.Function (on)
a226555 n = numerator $ sum $
zipWith ((%) `on` toInteger) (a226314_row n) (a054531_row n)
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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