Revision History for A185332
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
| older changes
|
| |
| |
| |
|
|
#27 by Joerg Arndt at Sun Mar 19 07:04:15 EDT 2017
| |
| |
| |
|
|
#26 by Seiichi Manyama at Sun Mar 19 07:00:05 EDT 2017
| |
| |
| |
|
|
#25 by Seiichi Manyama at Sun Mar 19 06:55:42 EDT 2017
|
|
| LINKS
|
Seiichi Manyama, <a href="/A185332/b185332.txt">Table of n, a(n) for n = 1..262</a>
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
#24 by Michael Somos at Sat Nov 01 22:42:54 EDT 2014
| |
| |
| |
|
|
#23 by Michael Somos at Sat Nov 01 22:42:45 EDT 2014
|
|
| EXAMPLE
|
au(1), ... = 1, 1, 1, 2, 3, 5, 4, 3, 7/5, 11/10, 5/6, 29/21, 155/77, 224/55, 639/145, ...
|
|
| STATUS
|
approved
editing
|
| |
|
|
Discussion
|
| Sat Nov 01
| 22:42
| Michael Somos: Fixed typo.
|
| |
| |
|
|
#22 by Michael Somos at Sat Nov 01 22:39:42 EDT 2014
| |
| |
| |
|
|
#21 by Michael Somos at Sat Nov 01 22:39:31 EDT 2014
|
|
| NAME
|
Numerators of u(n) where u(n) = (u(n-1) + u(n-2)) / u(n-3), with u(1) = u(2) = u(3) = 1.
|
|
| FORMULA
|
a(4 - n) = a(n) for all n). in Z.
0 = u(n) * u(n+3) - u(n+1) - u(n+2) for all n in Z. - Michael Somos, Nov 01 2014
|
|
| EXAMPLE
|
a(1), ... = 1, 1, 1, 2, 3, 5, 4, 3, 7/5, 11/10, 5/6, 29/21, 155/77, 224/55, 639/145, ...
|
|
| PROG
|
(PARI) {a(n) = local(v = [1, 1, 1]); if( n<1, n = 4-n); if( n<4, 1, for( k=4, n, v = [v[2], v[3], (v[2] + v[3]) / v[1]]); numerator( v[3] ))}] ))};
|
|
| CROSSREFS
|
Cf. A068508, A185341, A205303.
|
|
| STATUS
|
approved
editing
|
| |
|
|
Discussion
|
| Sat Nov 01
| 22:39
| Michael Somos: Added more info. Light edits.
|
| |
| |
|
|
#20 by Charles R Greathouse IV at Wed Apr 30 01:33:01 EDT 2014
|
|
| AUTHOR
|
_Michael Somos, _, Jan 27 2012
|
| |
|
|
Discussion
|
| Wed Apr 30
| 01:33
| OEIS Server: https://oeis.org/edit/global/2175
|
| |
| |
|
|
#19 by Harvey P. Dale at Mon Jan 28 09:58:32 EST 2013
| |
| |
| |
|
|
#18 by Harvey P. Dale at Mon Jan 28 09:58:20 EST 2013
|
|
| MATHEMATICA
|
Numerator[RecurrenceTable[{a[1]==a[2]==a[3]==1, a[n]==(a[n-1]+a[n-2])/ a[n-3]}, a, {n, 40}]] (* Harvey P. Dale, Jan 28 2013 *)
|
|
| STATUS
|
approved
editing
|
| |
| |
|
|
