|
|
|
|
|
|
|
|
|
#23 by Evan M. Bailey at Wed Jun 09 21:33:16 EDT 2021
|
|
|
|
|
|
|
|
#22 by Evan M. Bailey at Wed Jun 09 21:32:38 EDT 2021
|
|
| FORMULA
|
For nonnegative n, |a(n)| counts the nonnegative integers d<n such that for some integers a and b, |a^2-b^2| isdistinct congruentdifferences toof dperfect squares (mod n.).
|
|
|
|
|
|
|
#21 by Evan M. Bailey at Wed Jun 09 20:46:30 EDT 2021
|
|
| FORMULA
|
For nonnegative n, |a(n)| counts the nonnegative integers d<n such that for some integers a and b, |a^2-b^2| is congruent to d mod n.
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
|
|
|
|
|
|
|
#192 by Evan M. Bailey at Wed Dec 09 00:39:08 EST 2020
|
|
|
|
|
|
|
|
#191 by Evan M. Bailey at Wed Dec 09 00:38:03 EST 2020
|
|
| COMMENTS
|
The sum of the number of inversions of all sequences of zeros and ones with length n+1. - Evan M. Bailey, Dec 09 2020
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
|
|
|
|
|
|
|
#40 by Evan M. Bailey at Tue Sep 17 08:25:43 EDT 2019
|
|
|
|
|
|
|
|
#39 by Evan M. Bailey at Tue Sep 17 08:25:31 EDT 2019
|
|
| NAME
|
Nonhypotenuse numbers (positive integers which, when squared, are not the sums of 2 distinct nonzero squares).
|
|
|
|
|
|
|
#38 by Evan M. Bailey at Tue Sep 17 08:25:08 EDT 2019
|
|
| NAME
|
Nonhypotenuse numbers (squarespositive integers thatwhich, when squared, are not the sums of 2 distinct nonzero squares).
|
|
| LINKS
|
T. DEvan M. NoeBailey, <a href="/A004144/b004144_1.txt">Table of n, a(n) for n = 1..100020000</a>> (Terms 1-1000 from T. D. Noe)
Evan M. Bailey, <a href="/A004144/a004144.cpp.txt">a004114.cpp</a>
|
|
| EXTENSIONS
|
Corrected title and more terms from Evan M. Bailey, Sep 17 2019
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
|
|
|
|
|
|
|
#409 by Evan M. Bailey at Tue Sep 17 07:42:14 EDT 2019
|
|
|
|
|
|
|
|
#408 by Evan M. Bailey at Tue Sep 17 07:42:01 EDT 2019
|
|
| LINKS
|
N. J. AEvan M. SloaneBailey, <a href="/A000578/b000578_1.txt">Table of n, a(n) for n = 0..1000020000</a>> (Terms 1-10000 from N. J. A. Sloane)
Evan M. Bailey, <a href="/A000578/a000578.cpp.txt">a000578.cpp</a>
|
|
| EXTENSIONS
|
More terms from Evan M. Bailey, Sep 17 2019
|
|
| STATUS
|
approved
editing
|
|
|
|
|
|
