A088191 First differences of A088190.

0, 3, 0, 5, 3, 4, 1, 1, 10, 0, 8, 4, 1, 1, 10, 5, 3, 5, -1, 8, 4, 5, 7, 8, 4, 0, 5, 3, 4, 12, 5, 7, 1, 11, 0, 8, 5, 1, 10, 5, 3, 4, 8, 4, 0, 13, 11, 5, 3, 4, 0, 8, 9, 7, 2, 10, 0, 8, 4, 1, 11, 13, -5, 12, 4, 13, 7, 9, 3, 4, 0, 12, 8, 5, 1, 10, 8, 4, 8, 9, 3, 4, 8, 4, 5, 7, 8, 4, 0, 5, 1, 18, 5, 8, 1, 10, 12, 1, 19

Offset

1,2

Comments

Seemingly the difference sequence is mostly positive. There are special characteristic features where it is nonpositive. (See A088193-A088195.)

Links

Table of n, a(n) for n=1..99.

Prog

(PARI) qrp_d(to)= {/* Difference sequence of the largest QR modulo the primes */ local(m, k=1, p, v=[]); for(i=2, to, m=1; p=prime(i); j=2; while((j<=(p-1)/2)&&(m<p-1), m=max(m, (j^2)%p); j++); v=concat(v, m-k); k=m); print(v) }

Crossrefs

Cf. A088190, A088192, A088193, A088194, A088195.

Sequence in context: A284662 A292031 A201565 * A378034 A179179 A291503

Adjacent sequences: A088188 A088189 A088190 * A088192 A088193 A088194

Keyword

easy,sign

Author

Ferenc Adorjan (fadorjan(AT)freemail.hu), Sep 22 2003

Status

approved