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 A053977 Engel expansion of the Euler-Mascheroni constant gamma A001620 = 0.57721566... . 3
 2, 7, 13, 19, 85, 2601, 9602, 46268, 4812284, 147961485, 210810243, 814960948, 1003849128, 1016803038, 12917183059, 26242325020, 22215291139324, 30797877759859, 60139200644343, 121848657453426, 133555928335475 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Cf. A006784 for 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. LINKS T. D. Noe, Table of n, a(n) for n=1..300 F. Engel, Entwicklung der Zahlen nach Stammbruechen, Verhandlungen der 52. Versammlung deutscher Philologen und Schulmaenner 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. 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 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. A006784, A028254, A028257. Sequence in context: A237499 A231476 A138042 * A079381 A079382 A111354 Adjacent sequences: A053974 A053975 A053976 * A053978 A053979 A053980 KEYWORD nonn,easy,nice AUTHOR Jeppe Stig Nielsen, Apr 02 2000 EXTENSIONS More terms and additional comments from Mitch Harris, Jan 15 2001 STATUS approved

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Last modified September 15 13:23 EDT 2024. Contains 375938 sequences. (Running on oeis4.)