|
Search: id:A006284
|
|
|
| A006284 |
|
Pierce expansion for Euler's constant.
(Formerly M1593)
|
|
+0
3
|
|
| 1, 2, 6, 13, 21, 24, 225, 615, 17450, 23228, 57774, 221361, 522377, 793040, 1706305, 8664354, 19037086, 51965160, 56870701, 124645388, 784244500, 792809072, 3675221276, 42108268014, 53633289500, 56827261536, 67080647365
(list; graph; listen)
|
|
|
OFFSET
|
0,2
|
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
J. O. Shallit, Some predictable Pierce expansions, Fib. Quart., 22 (1984), 332-335.
|
|
LINKS
|
J. O. Shallit, Some predictable Pierce expansions, Fib. Quart., 22 (1984), 332-335.
Eric Weisstein's World of Mathematics, Pierce Expansion
|
|
FORMULA
|
If u(0)=exp(1/m) where m is an integer>=1 and u(n+1)=u(n)/frac(u(n)) then floor(u(n))=m*n. Let u(0)=1/gamma and u(n+1)=u(n)/frac(u(n)) where frac(x) is the fractional part of x, then a(n)=floor(u(n)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Mar 09 2004
|
|
PROGRAM
|
(PARI) r=1/Euler; for(n=1, 30, r=r/(r-floor(r)); print1(floor(r), ", "))
|
|
CROSSREFS
|
Cf. A006275, A006276, A006283.
Sequence in context: A130533 A082722 A030416 this_sequence A048072 A026052 A049616
Adjacent sequences: A006281 A006282 A006283 this_sequence A006285 A006286 A006287
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com), Jeffrey Shallit
|
|
|
Search completed in 0.002 seconds
|
