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Search: id:A053977
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| A053977 |
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Engel expansion of the Euler-Mascheroni constant gamma A001620 = 0.577216. |
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+0
2
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| 2, 7, 13, 19, 85, 2601, 9602, 46268, 4812284, 147961485, 210810243, 814960948, 1003849128, 1016803038, 12917183059, 26242325020, 22215291139324, 30797877759859, 60139200644343, 121848657453426, 133555928335475
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Cf. A006784 for definition of Engel expansion
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REFERENCES
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F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.
P. Erdos and J. O. Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no.1, 43-53.
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..300
Eric Weisstein's World of Mathematics, Engel Expansion
Eric Weisstein's World of Mathematics, Euler-Mascheroni Constant
Index entries for sequences related to Engel expansions
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MATHEMATICA
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EngelExp[ A_, n_ ] := Join[ Array[ 1&, Floor[ A ] ], First@Transpose@NestList[ {Ceiling[ 1/Expand[ #[ [ 1 ] ]#[ [ 2 ] ]-1 ] ], Expand[ #[ [ 1 ] ]#[ [ 2 ] ]-1 ]}&, {Ceiling[ 1/(A-Floor[ A ]) ], A-Floor[ A ]}, n-1 ] ]
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CROSSREFS
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Cf. A006784, A028254, A028257.
Sequence in context: A106011 A045375 A138042 this_sequence A079381 A079382 A111354
Adjacent sequences: A053974 A053975 A053976 this_sequence A053978 A053979 A053980
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Jeppe Stig Nielsen (sequence(AT)jeppesn.dk), Apr 02 2000
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EXTENSIONS
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More terms and additional comments from Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu), Jan 15, 2001.
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