login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A091384 Members of the difference sequence (A091381) of the sequence of largest quadratic "mixed" residues modulo the primes (A091380) where the latter is non-monotonic. 5
0, -1, -5, -1, -3, 0, 0, -8, 0, -1, 0, -7, -2, -6, -1, 0, 0, -5, -6, 0, 0, -7, -2, 0, -2, -3, -1, 0, -1, -5, -5, -7, -2, -11, 0, -1, 0, 0, -1, -2, -10, 0, 0, -6, -3, -1, -5, -5, -6, -5, 0, -1, -5, -7, -2, -5, -1, -5, 0, -2, -2, -7, 0, -7, -9, -4, -4, -8, -5, -13, 0, -4, -4, -7, -17, 0, -3, 0, -5, -1, -3, 0, -17, 0, -7, -6, -1, -2, -3, -3, 0 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The negative values are either primes or composites (Cf. A088200).

LINKS

Table of n, a(n) for n=1..91.

Ferenc Adorjan, The sequence of largest quadratic residues modulo the primes

PROG

(PARI) {/* The difference sequence values where the sequence of the largest "mixed" QR modulo the primes is non-monotonic */ lqxr_nm_d(to)=local(v=[], k, r, q, p, e=1, n=0, i=1); while(n<to, i+=1; p=prime(i); k=p-1; r=p%4-2; while(kronecker(k, p)<>r, k-=1); if(k-e<=0, v=concat(v, k-e); n+=1); e=k); print(i); print(v) }

CROSSREFS

Cf. A091380, A091381, A091382, A091383, A091385, A088190, A088196, A088200.

Sequence in context: A165449 A019114 A201526 * A011305 A254378 A134568

Adjacent sequences:  A091381 A091382 A091383 * A091385 A091386 A091387

KEYWORD

easy,sign

AUTHOR

Ferenc Adorjan (fadorjan(AT)freemail.hu)

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 24 09:10 EDT 2021. Contains 347630 sequences. (Running on oeis4.)