|
| |
|
|
A072508
|
|
Decimal expansion of Backhouse constant.
|
|
7
|
|
|
|
1, 4, 5, 6, 0, 7, 4, 9, 4, 8, 5, 8, 2, 6, 8, 9, 6, 7, 1, 3, 9, 9, 5, 9, 5, 3, 5, 1, 1, 1, 6, 5, 4, 3, 5, 5, 7, 6, 5, 3, 1, 7, 8, 3, 7, 4, 8, 4, 7, 1, 3, 1, 5, 4, 0, 2, 7, 0, 7, 0, 2, 4, 3, 7, 4, 1, 4, 0, 0, 1, 5, 0, 6, 2, 6, 5, 3, 8, 9, 8, 9, 5, 5, 9, 9, 6, 4, 5, 3, 1, 9, 4, 0, 1, 8, 6, 0, 3, 0, 9, 1, 0, 9, 9, 2
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
The reciprocal (A088751) of Backhouse's constant is the real zero of a certain power series. - T. D. Noe, Oct 14 2003
|
|
|
LINKS
|
Table of n, a(n) for n=1..105.
S. R. Finch, Backhouse's constant. 1995 [Cached copy, with permission]
Philippe Flajolet, in response to the previous document from S. R. Finch, Backhouse's constant, 1995
S. R. Finch, Kalmar's Composition Constant, Section 5.5 in Mathematical Constants. Cambridge, England: Cambridge University Press, pp. 292-295, 2003. [Cached copy, with permission]
S. R. Finch, Kalmar's composition constant, June 5, 2003. [A different version. Cached copy, with permission of the author]
Simon Plouffe, The Backhouse constant
Eric Weisstein's World of Mathematics, Backhouse's Constant.
|
|
|
EXAMPLE
|
1.4560749485826896713995953...
|
|
|
MATHEMATICA
|
RealDigits[-1/x /. FindRoot[0 == 1 + Sum[x^n Prime[n], {n, 1000}], {x, {0, 1}}, WorkingPrecision -> 100]][[1]] (* T. D. Noe, corrected Apr 26 2013 *)
|
|
|
CROSSREFS
|
Continued fraction is in A074269.
Cf. A030010, A088751, A247818.
Sequence in context: A154914 A154916 A077061 * A075566 A076087 A082486
Adjacent sequences: A072505 A072506 A072507 * A072509 A072510 A072511
|
|
|
KEYWORD
|
cons,nonn,changed
|
|
|
AUTHOR
|
Robert G. Wilson v, Aug 03 2002
|
|
|
STATUS
|
approved
|
| |
|
|
