The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A350886 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A350886

Let X,Y,Z be positive integer solutions to X^2 = Sum_{j=0..Y-1} (1+Z*j)^2, where solutions for Y or Z < 1 are excluded. This sequence lists the sorted values for X.
(history; published version)

#55 by N. J. A. Sloane at Mon Apr 18 22:54:31 EDT 2022

STATUS

proposed

approved

#54 by Thomas Scheuerle at Wed Mar 30 03:09:28 EDT 2022

STATUS

editing

proposed

Discussion

Wed Mar 30

19:48

Robert C. Lyons: Thanks, Thomas!

#53 by Thomas Scheuerle at Wed Mar 30 03:09:10 EDT 2022

FORMULA

â¢a(n) != a(m) if n != m.

#52 by Thomas Scheuerle at Wed Mar 30 03:05:28 EDT 2022

FORMULA

x_(n+1) = 15*⁢x_n + 4*⁢y_n + 6 ⁢

y_(n+1) = 56*x_n + 15*⁢y_n + 24 ⁢and also:

x_(n+1) = 15*x_n - 4*y_n + 6 ⁢

y_(n+1) = -56*⁢x_n + 15*⁢y_n - 24.

x_(n+1) = 4999*⁢x_n + 350*⁢y_n + 882 ⁢

y_(n+1) = 71400*x_n + 4999*⁢y_n + 12600 ⁢and also:

x_(n+1) = 4999*x_n - 350*y_n + 6 ⁢

y_(n+1) = -71400*⁢x_n + 4999*⁢y_n - 12600.

⁢â¢a(n) != a(m) if n != m.

Discussion

Wed Mar 30

03:07

Thomas Scheuerle: Thank you ! By switching from utf-8 to ansi in the editor, I was able to spot these characters. Copy paste with unicode is a mess :-(.

#51 by Robert C. Lyons at Tue Mar 29 15:44:00 EDT 2022

STATUS

proposed

editing

#50 by Thomas Scheuerle at Sat Mar 12 07:55:15 EST 2022

STATUS

editing

proposed

Discussion

Tue Mar 29

15:44

Robert C. Lyons: Hi Thomas. The FORMULA section contains unprintable control characters. For example, I displayed the following line from the FORMULA section using the cat -v command; it displays each of the three sequences of control characters as "?M-^A?":

x_(n+1) = 15*?M-^A?x_n + 4*?M-^A?y_n + 6 ?M-^A?

#49 by Thomas Scheuerle at Sat Mar 12 07:52:40 EST 2022

NAME

Let X,Y,Z be positive integer solutions to X^2 = Sum_{j=0..Y-1} (1+Z*j)^2, where solutions for Y or Z < 1 are excluded. X = a(n), Y = A350887(n) and Z = A350888(n) together are triples This sequence lists the sorted by increasing values for X.

#48 by Thomas Scheuerle at Sat Mar 12 07:31:36 EST 2022

NAME

Let X,Y,Z be positive integer solutions to X^2 = Sum_{j=0..Y-1} (1+Z*j)^2. Solutions , where solutions for Y or Z < 1 are excluded. X = a(n), Y = A350887(n) and Z = A350888(n) together are triples ordered sorted by increasing X.

#47 by Thomas Scheuerle at Sat Mar 12 07:28:56 EST 2022

NAME

Positive Let X,Y,Z be positive integer solutions to X^2 = Sum_{j=0..Y-1} (1+Z*j)^2. Solutions for Y or Z < 1 are excluded. X = a(n), Y = A350887(n) and Z = A350888(n) together are triples ordered by increasing X.

#46 by Thomas Scheuerle at Sat Mar 12 07:25:49 EST 2022

NAME

Positive integer solutions to a(n)X^2 = Sum_{j=0..A350887(n)Y-1} (1+A350888(n)Z*j)^2. Solutions for A350888(n) Y or A350887(n) Z < 1 are excluded. X = a(n), Y = A350887(n) and Z = A350888(n) together are triples ordered by increasing a(n)X.

STATUS

proposed

editing