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Revisions by Alain Brugière

(See also Alain Brugière's wiki page)

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = A073711(2^n-1) for n>=0.
(history; published version)
#8 by Alain Brugière at Sun Feb 17 22:40:31 EST 2013
STATUS

editing

proposed

Inverse of permutation in A215261.
(history; published version)
#9 by Alain Brugière at Sun Feb 17 22:39:45 EST 2013
STATUS

editing

proposed

Positive numbers n such that Lambda_n = A002336(n) is divisible by n.
(history; published version)
#20 by Alain Brugière at Sun Feb 17 22:39:20 EST 2013
STATUS

editing

proposed

Inverse of permutation in A215261.
(history; published version)
#7 by Alain Brugière at Sun Feb 17 13:44:22 EST 2013
STATUS

editing

proposed

Discussion
Sun Feb 17
18:13
T. D. Noe: Far from acceptable. Please work on your sequences more.
Positive numbers n such that Lambda_n = A002336(n) is divisible by n.
(history; published version)
#18 by Alain Brugière at Sun Feb 17 13:44:06 EST 2013
STATUS

editing

proposed

Discussion
Sun Feb 17
18:12
T. D. Noe: This is far from acceptable.
#17 by Alain Brugière at Sun Feb 17 13:43:48 EST 2013
FORMULA

U (n) = a / u (n-1) + b / u (n-2) + c / u (n-3) ....

STATUS

proposed

editing

Inverse of permutation in A215261.
(history; published version)
#6 by Alain Brugière at Sun Feb 17 13:41:00 EST 2013
NAME

u(n)= (u(n-1)/u(n-2))+(u(n-2)/u(n-1)) this sequence has à limit of 2. Datas are the first numerators.

square root of the sum of a, b, c ... Here exemple for square root of 22(a=2, b=13 and c=7)

DATA

1, 2, 5, 41, 4181, 1405670, 10076524678201314263, 6, 510, 1037085, 1255440826885, 35700707871080941779883, 116972246657829092823242558810084906770

COMMENTS

first datas are denominators of U (n) = 2/u(n-1) + 13/u(n-2) + 7/u(n-3)

U(1)=1, U(2)=2, U(3)=3

lim(U(n)) for n-->infinity Is the square root of the sum (2+13+7)

squared U(n)-->22.

We can generalize:

Let U(n)= a/u(n-1) + b/u(n-2) + c/u(n-3) +d/u(n-4)+ .....

a,b,c,d ... positive reals.

Lim(U(n)) for n --> infinity Is square root of the sum (a+b+c+d+...)

It is not necessary to order a, b, c .... There may be equality between a, b, or (and) c ...

Sequence may have only 2 terms:U(n)= a/u(n-1) + b/u(n-2).

Convergence is slow

LINKS

zak zeidov :A057677 A066932 Alain Brugière A211202

FORMULA

u(n)= (a/u(n-1)+b/u(n-2))+(u(n-2)/uc(n-1)3)+ ....

EXAMPLE

~1, 2, 2.5, 2.05, 2.039512195122, 2.0000263080725, 2.0003822273707, 2.00000000316631

Positive numbers n such that Lambda_n = A002336(n) is divisible by n.
(history; published version)
#16 by Alain Brugière at Sun Feb 17 13:21:33 EST 2013
STATUS

editing

proposed

#15 by Alain Brugière at Sun Feb 17 13:21:12 EST 2013
COMMENTS

first datas are denominators numerators of U (n) = 2/u(n-1) + 13/u(n-2) + 7/u(n-3)

STATUS

proposed

editing

#14 by Alain Brugière at Sun Feb 17 13:14:27 EST 2013
STATUS

editing

proposed