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Search: id:A059186
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| A059186 |
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Engel expansion of Pi^2/6, or zeta(2) = 1.64493. |
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+0
2
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| 1, 2, 4, 7, 9, 22, 35, 79, 2992, 3597, 17523, 28632, 41470, 53093, 57406, 14504930, 42622213, 188335162, 322429556, 1023003875, 1328535963, 3138645732, 11618168524, 137721814936, 156929353744, 166732460513, 813398686532
(list; graph; listen)
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OFFSET
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1,2
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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
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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Sequence in context: A153776 A005625 A067785 this_sequence A034702 A167206 A053223
Adjacent sequences: A059183 A059184 A059185 this_sequence A059187 A059188 A059189
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KEYWORD
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nonn,easy,nice
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AUTHOR
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Mitch Harris (Harris.Mitchell(AT)mgh.harvard.edu)
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