OFFSET
1,3
COMMENTS
Cf. A006784 for definition of Engel expansion.
LINKS
Greg Egan, Puzzle in which this value arises naturally
F. Engel, Entwicklung der Zahlen nach Stammbrüchen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmänner in Marburg, 1913, pp. 190-191. English translation by Georg Fischer, included with his permission.
P. Erdős 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.
Grant Sanderson and Brady Haran, Darts in Higher Dimensions, Numberphile video (2019)
Eric Weisstein's World of Mathematics, Engel Expansion
Wikipedia, Engel Expansion
MAPLE
Digits:= 250:
engel:= (r, n)-> `if`(n=0 or r=0, NULL,
[ceil(1/r), engel(r*ceil(1/r)-1, n-1)][]):
engel(evalf(exp(Pi/4)), 32);
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Nov 23 2019
STATUS
approved