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A059180 Engel expansion of log(2). 3
2, 3, 7, 9, 104, 510, 1413, 2386, 40447, 87110, 124975, 1565154, 1766158, 2440919, 2637001, 9192874, 24998746, 73973182, 88828340, 432049320, 470421590, 477600793, 3313014448, 4571423959, 28839435286, 40818751774 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A006784 for the definition of Engel expansion.

REFERENCES

F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner in Marburg, 1913, pp. 190-191.

P. Erdos and Jeffrey Shallit, New bounds on the length of finite Pierce and Engel series, Sem. Theor. Nombres Bordeaux (2) 3 (1991), no.1, 43-53.

LINKS

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, Natural Logarithm of 2

Index entries for sequences related to Engel expansions

MATHEMATICA

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 ] ]

CROSSREFS

Cf. A002162, decimal expansion of the natural logarithm of 2.

Sequence in context: A107861 A109800 A152136 * A051637 A051471 A140794

Adjacent sequences:  A059177 A059178 A059179 * A059181 A059182 A059183

KEYWORD

nonn,easy,nice

AUTHOR

Mitch Harris

STATUS

approved

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Last modified August 28 07:22 EDT 2014. Contains 246162 sequences.