Revision History for A014008
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
| older changes
|
| |
| |
| |
|
|
#18 by Bruno Berselli at Fri Jul 29 08:08:45 EDT 2016
| |
| |
| |
|
|
#17 by Bruno Berselli at Fri Jul 29 08:08:25 EDT 2016
|
|
| NAME
|
Pisot sequence E(10,22), a(n)=[ ) = floor( a(n-1)^2/a(n-2)+1/2 ]. ).
|
|
| STATUS
|
proposed
editing
|
| |
| |
|
|
#16 by Colin Barker at Fri Jul 29 06:54:55 EDT 2016
| |
| |
| |
|
|
#15 by Colin Barker at Fri Jul 29 06:54:29 EDT 2016
|
|
| DATA
|
10, 22, 48, 105, 230, 504, 1104, 2418, 5296, 11600, 25408, 55652, 121896, 266992, 584800, 1280904, 2805600, 6145184, 13459968, 29481744, 64574688, 141439744, 309799425, 678562341, 1486274065, 3255427634, 7130454154, 15618033069, 34208614441, 74928084529
|
|
| REFERENCES
|
D. W. Boyd, Some integer sequences related to the Pisot sequences, Acta Arithmetica, 34 (1979), 295-305.
|
|
| LINKS
|
Colin Barker, <a href="/A014008/b014008.txt">Table of n, a(n) for n = 0..1000</a>
D. W. Boyd, <a href="http://matwbn.icm.edu.pl/ksiazki/aa/aa34/aa3444.pdf">Some integer sequences related to the Pisot sequences</a>, Acta Arithmetica, 34 (1979), 295-305.
|
|
| PROG
|
(PARI) pisotE(nmax, a1, a2) = {
a=vector(nmax); a[1]=a1; a[2]=a2;
for(n=3, nmax, a[n] = floor(a[n-1]^2/a[n-2]+1/2));
a
}
pisotE(50, 10, 22) \\ Colin Barker, Jul 29 2016
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
#14 by R. J. Mathar at Tue Mar 22 12:49:45 EDT 2016
| |
| |
| |
|
|
#13 by R. J. Mathar at Tue Mar 22 12:49:40 EDT 2016
|
|
| REFERENCES
|
D. W. Boyd, Linear recurrence relations for some generalized Pisot sequences, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
|
|
| LINKS
|
D. W. Boyd, <a href="https://www.researchgate.net/profile/David_Boyd7/publication/262181133_Linear_recurrence_relations_for_some_generalized_Pisot_sequences_-_annotated_with_corrections_and_additions/links/00b7d536d49781037f000000.pdf">Linear recurrence relations for some generalized Pisot sequences</a>, Advances in Number Theory ( Kingston ON, 1991) 333-340, Oxford Sci. Publ., Oxford Univ. Press, New York, 1993.
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
#12 by Bruno Berselli at Mon Feb 08 10:06:22 EST 2016
| |
| |
| |
|
|
#11 by Bruno Berselli at Mon Feb 08 10:06:18 EST 2016
|
|
| FORMULA
|
a(n)=) = floor(r*s^n+1/2) ), where r= = 9.99722327450628273875296...; ... and s= = 2.190327955501779639125414331914733218563545664874673678481473094.... - _... . - _Benoit Cloitre_, Apr 21 2003
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
#10 by Russ Cox at Fri Mar 30 18:38:36 EDT 2012
|
|
| FORMULA
|
a(n)=floor(r*s^n+1/2) where r=9.99722327450628273875296...; s=2.190327955501779639125414331914733218563545664874673678481473094.... - .... - _Benoit Cloitre (benoit7848c(AT)orange.fr), _, Apr 21 2003
|
| |
|
|
Discussion
|
| Fri Mar 30
| 18:38
| OEIS Server: https://oeis.org/edit/global/216
|
| |
| |
|
|
#9 by Russ Cox at Fri Mar 30 18:36:12 EDT 2012
| |
| |
|
|
Discussion
|
| Fri Mar 30
| 18:36
| OEIS Server: https://oeis.org/edit/global/212
|
| |
| |
|
|
