Displaying 1-10 of 30 results found.
Apéry's number or Apéry's constant zeta(3). Decimal expansion of zeta(3) = Sum_{m >= 1} 1/m^3.
(Formerly M0020)
+10
437
1, 2, 0, 2, 0, 5, 6, 9, 0, 3, 1, 5, 9, 5, 9, 4, 2, 8, 5, 3, 9, 9, 7, 3, 8, 1, 6, 1, 5, 1, 1, 4, 4, 9, 9, 9, 0, 7, 6, 4, 9, 8, 6, 2, 9, 2, 3, 4, 0, 4, 9, 8, 8, 8, 1, 7, 9, 2, 2, 7, 1, 5, 5, 5, 3, 4, 1, 8, 3, 8, 2, 0, 5, 7, 8, 6, 3, 1, 3, 0, 9, 0, 1, 8, 6, 4, 5, 5, 8, 7, 3, 6, 0, 9, 3, 3, 5, 2, 5, 8, 1, 4, 6, 1, 9, 9, 1, 5
Decimal expansion of Pi^2/6 = zeta(2) = Sum_{m>=1} 1/m^2.
+10
380
1, 6, 4, 4, 9, 3, 4, 0, 6, 6, 8, 4, 8, 2, 2, 6, 4, 3, 6, 4, 7, 2, 4, 1, 5, 1, 6, 6, 6, 4, 6, 0, 2, 5, 1, 8, 9, 2, 1, 8, 9, 4, 9, 9, 0, 1, 2, 0, 6, 7, 9, 8, 4, 3, 7, 7, 3, 5, 5, 5, 8, 2, 2, 9, 3, 7, 0, 0, 0, 7, 4, 7, 0, 4, 0, 3, 2, 0, 0, 8, 7, 3, 8, 3, 3, 6, 2, 8, 9, 0, 0, 6, 1, 9, 7, 5, 8, 7, 0
Continued fraction for zeta(2) = Pi^2/6.
+10
28
1, 1, 1, 1, 4, 2, 4, 7, 1, 4, 2, 3, 4, 10, 1, 2, 1, 1, 1, 15, 1, 3, 6, 1, 1, 2, 1, 1, 1, 2, 2, 3, 1, 3, 1, 1, 5, 1, 2, 2, 1, 1, 6, 27, 20, 3, 97, 105, 1, 1, 1, 1, 1, 45, 2, 8, 19, 1, 4, 1, 1, 3, 1, 2, 1, 1, 1, 5, 1, 1, 2, 3, 6, 1, 1, 1, 2, 1, 5, 1, 1, 2, 9, 5, 3, 2, 1, 1, 1
Continued fraction for zeta(4).
+10
23
1, 12, 6, 1, 3, 1, 4, 183, 1, 1, 2, 1, 3, 1, 1, 5, 4, 2, 7, 23, 1, 1, 1, 1, 3, 2, 4, 2, 2, 22, 1, 13, 5, 1, 4, 2, 1, 3, 1, 1, 1, 6, 11, 40, 1, 7, 5, 2, 4, 1, 2, 3, 14, 9, 1, 33, 78, 1, 12, 4, 1, 2, 551, 1, 1, 1, 1, 1, 1, 2, 1, 9, 2, 7, 3, 1, 3, 2, 15, 1, 1, 2, 2
Continued fraction for zeta(20).
+10
18
1, 1048259, 1, 2, 1, 18, 3, 1, 9, 7, 1, 1, 2, 1, 13, 3, 1, 1, 1, 2, 4, 2, 10, 2, 1, 1, 2, 8, 1, 1, 1, 3, 1, 3, 9, 2, 1, 2, 1, 1, 4, 2, 2, 56, 2, 2, 1, 1, 1, 6, 5, 2, 15, 1, 5, 2, 2, 1, 5, 1, 1, 39, 1, 6, 2, 6, 1, 1, 1, 3, 24, 11, 1, 1, 4
Continued fraction for zeta(5).
+10
5
1, 27, 12, 1, 1, 15, 1, 5, 1, 2, 19, 1, 1, 32, 1, 13, 1, 1, 1, 3, 1, 3, 2, 16, 1, 12, 4, 1, 5, 1, 1, 1, 1, 1, 2, 2, 6, 1, 8, 8, 6, 2, 3, 2, 2, 1, 30, 1, 17, 116, 1, 7, 1, 1, 1, 1, 1, 1, 2, 2, 12, 1, 4, 1, 1, 94, 1, 1, 3, 3, 6, 6, 1, 1, 2, 1, 17, 1, 1, 7, 1, 1, 11
First occurrence of n as a term in the continued fraction for zeta(3).
+10
3
1, 12, 25, 2, 64, 27, 17, 140, 10, 119, 21, 239, 175, 78, 181, 46, 200, 4, 83, 619, 753, 412, 177, 197, 414, 138, 146, 561, 233, 29, 2276, 1549, 660, 889, 298, 1040, 2279, 322, 1274, 1882, 345, 2926, 673, 254, 1961, 1542, 1681, 296, 5423, 2423, 2557, 228
Numerators of continued fraction convergents to zeta(3).
+10
3
1, 5, 6, 113, 119, 232, 351, 1636, 1987, 19519, 177658, 374835, 552493, 927328, 1479821, 3886970, 28688611, 32575581, 61264192, 461424925, 5136938367, 5598363292, 10735301659, 16333664951, 59736296512, 76069961463
First occurrences of n in the continued fraction of zeta(3).
+10
3
0, 11, 24, 1, 63, 26, 16, 139, 9, 118, 20, 238, 174, 77, 180, 45, 199, 3, 82, 618, 752, 411, 176, 196, 413, 137, 145, 560, 232, 28, 2275, 1548, 659, 888, 297, 1039, 2278, 321, 1273, 1881, 344, 2925, 672, 253, 1960, 1541, 1680, 295, 5422
Continued fraction for zeta(6).
+10
2
1, 57, 1, 1, 1, 15, 1, 6, 3, 61, 1, 5, 3, 1, 6, 1, 3, 3, 6, 1, 10, 1, 3, 2, 1, 4, 1, 1, 5, 1, 61, 1, 3, 1, 2, 1, 3, 2, 1, 3, 1, 2, 2, 28, 1, 2, 18, 53, 2, 1, 17, 11, 3, 4, 3, 5, 2, 1, 27, 9, 8, 3, 3, 3, 9, 5, 1, 3, 29, 1, 4, 1, 2, 40, 4, 8, 1, 3, 1, 2, 2, 1, 4
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