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A001989 Class numbers associated with terms of A001988.
(Formerly M3756 N1535)
0

%I M3756 N1535 #28 Nov 19 2022 04:39:02

%S 1,1,5,7,7,7,9,53,73,83,83,83,157,185,185,185,185,1927,2295,2273,5313,

%T 5313,7173,9529,18545,18545,18545,18545,22635,22635,66011,121725,

%U 344909,344909

%N Class numbers associated with terms of A001988.

%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

%H D. H. Lehmer, E. Lehmer and D. Shanks, <a href="https://doi.org/10.1090/S0025-5718-1970-0271006-X">Integer sequences having prescribed quadratic character</a>, Math. Comp., 24 (1970), 433-451.

%H D. H. Lehmer, E. Lehmer and D. Shanks, <a href="/A002189/a002189.pdf">Integer sequences having prescribed quadratic character</a>, Math. Comp., 24 (1970), 433-451 [Annotated scanned copy]

%o (PARI) isok(p, oddpn) = {forprime(q=3, oddpn, if (kronecker(p, q) != -kronecker(-1, q), return (0)); ); return (1); }

%o a(n) = {my(oddpn = prime(n+1)); forprime(p=3, , if (((p%8) == 7) && isok(p, oddpn), return (qfbclassno(-p*if(p%4>1, 4, 1)))););} \\ _Michel Marcus_, Oct 19 2017

%Y Cf. A001988.

%K nonn

%O 1,3

%A _N. J. A. Sloane_

%E Better name from _Sean A. Irvine_, Mar 06 2013

%E Terms corrected by _Sean A. Irvine_, Mar 06 2013

%E Offset changed by _Michel Marcus_, Oct 19 2017

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Last modified April 24 06:14 EDT 2024. Contains 371918 sequences. (Running on oeis4.)