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Search: id:A131447
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| A131447 |
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Numerators of n-th approximation of factorial (also called harmonic) expansion of Euler's constant C, called gamma= 0.5772156649... |
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+0
2
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| 0, 1, 1, 13, 23, 83, 2909, 23273, 3491, 3491, 11520301, 30720803, 30720803, 50320675319, 68619102709, 3019240519199, 4666098984217, 1847775197749939, 23405152504832563, 1404309150289953793, 9830164052029676557
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OFFSET
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1,4
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COMMENT
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Denominators are given in A131448. Rationals in lowest terms.
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REFERENCES
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J. Havil, Gamma, (in German), Springer, 2007, p. 118; Gamma: Exploring Euler's Constant, Princeton Univ. Press, 2003.
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LINKS
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W. Lang, Rationals and values.
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FORMULA
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a(n)=numerator(r(n)), with r(n):=sum(b(k)/k!,n=1..n) with b(k):= A096622(k) (factorial expansion of gamma).
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EXAMPLE
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Rationals r(n): [0, 1/2, 1/2, 13/24, 23/40, 83/144, 2909/5040, 23273/40320, 3491/6048, ...]
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CROSSREFS
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Adjacent sequences: A131444 A131445 A131446 this_sequence A131448 A131449 A131450
Sequence in context: A103166 A139863 A046862 this_sequence A110196 A111943 A039448
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Aug 07 2007
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