Tables for OEIS A087048 (part 1) and for A003646 (part 2) -------------------------------------------------------- Part 1: Positive discriminants A079896(n) of binary quadratic forms and class numbers A087048(n), n>= 0. _____________________________________________________________________ 0,1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24, 5 8,12,13,17,20,21,24,28,29,32,33,37,40,41,44,45,48,52,53,56,57,60,61,65, 1,1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 4, 1, 2, ------------------------------------------------------------------------ 25,26,27,28,29,30,31,32,33,34,35,36,37,38,39, 40, 41, 42, 43, 44, 45, 46, 68,69,72,73,76,77,80,84,85,88,89,92,93,96,97,101,104,105,108,109,112,113, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 4, 1, 1, 2, 4, 2, 1, 2, 1, ------------------------------------------------------------------------ 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 116,117,120,124,125,128,129,132,133,136,137,140,141,145,148,149,152,153, 1, 2, 4, 2, 1, 2, 2, 2, 2, 4, 1, 4, 2, 4, 3, 1, 2, 2, ------------------------------------------------------------------------ 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 156,157,160,161,164,165,168,172,173,176,177,180,181,184,185,188,189,192, 4, 1, 4, 2, 1, 4, 4, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 4, ------------------------------------------------------------------------ 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99,100, 193,197,200,201,204,205,208,209,212,213,216,217,220,221,224,228,229,232, 1, 1, 2, 2, 4, 4, 2, 2, 1, 2, 2, 2, 4, 4, 4, 2, 3, 2, ------------------------------------------------------------------------ 101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118, 233,236,237,240,241,244,245,248,249,252,253,257,260,261,264,265,268,269, 1, 2, 2, 4, 1, 1, 2, 2, 2, 4, 2, 3, 2, 2, 4, 2, 2, 1, ------------------------------------------------------------------------ 119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135, ... 272,273,276,277,280,281,284,285,288,292,293,296,297,300,301,304,305, ... 2, 4, 2, 1, 4, 1, 2, 4, 4, 1, 1, 2, 2, 4, 2, 2, 4, ... ------------------------------------------------------------------------ ------------------------------------------------------------------------- ------------------------------------------------------------------------- Part 2: Fundamental positive discriminants A003658(n) and class numbers A003646(n) of indefinite binary quadratic forms, n>=2. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 5, 8, 12, 13, 17, 21, 24, 28, 29, 33, 37, 40, 41, 44, 53, 56, 57, 60, 61, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 4, 1, ------------------------------------------------------------------------- 21, 22, 23, 24, 25, 26, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 65, 69, 73, 76, 77, 85, 88, 89, 92, 93, 97, 101, 104, 105, 109, 113, 120, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 4, 1, 1, 4, ------------------------------------------------------------------------- 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 124, 129, 133, 136, 137, 140, 141, 145, 149, 152, 156, 157, 161, 165, 168, 2, 2, 2, 4, 1, 4, 2, 4, 1, 2, 4, 1, 2, 4, 4, ------------------------------------------------------------------------- 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 172, 173, 177, 181, 184, 185, 188, 193, 197, 201, 204, 205, 209, 213, 217, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 4, 4, 2, 2, 2, ------------------------------------------------------------------------- 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 220, 221, 229, 232, 233, 236, 237, 241, 248, 249, 253, 257, 264, 265, 268, 4, 4, 3, 2, 1, 2, 2, 1, 2, 2, 2, 3, 4, 2, 2, -------------------------------------------------------------------------- 84, 85, 86, 87, 88, 89, 90, 91 92, ... 269, 273, 277, 280, 281, 284, 285, 293, 296, ... 1, 4, 1, 4, 1, 2, 4, 1, 2, ... ------------------------------------------------------------------------- ------------------------------------------------------------------------- Compiled by W.Lang, Sep 24 2003 Second part checks with D. A. Buell: Binary Quadratic Forms, Springer, 1989, pp. 236 and 241 _________________________________________________________________________