Value a(6) in doubt for a = A101877

[Rainer Rosenthal]

Maximilian Hasler wrote:

[ a certain PARI/GP calculation ]

I cannot confirm your PAR/GP result. I copy-pasted your list into Maple
and got

ReciprocalSum := S -> add(1/S[i],i=1..nops(S));
ReciprocalSum( 
           [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
            19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,
            36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52,
            53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
            72, 74, 75, 76, 77, 78, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93,
            94, 95, 96, 98, 99, 100, 102, 104, 105, 106, 108, 110, 111, 114, 115,
            116, 117, 119, 120, 121, 122, 123, 124, 126, 128, 129, 130, 132, 133,
            134, 136, 138, 140, 141, 143, 145, 147, 148, 150, 152, 153, 155, 156,
            159, 161, 162, 164, 168, 170, 171, 174, 177, 180, 182, 183, 184, 185,
            186, 187, 188, 190, 192, 196, 201, 203, 204, 205, 207, 209, 210, 212,
            215, 217, 221, 222, 228, 230, 232, 238, 242, 245, 246, 247, 248, 250,
            252, 253, 255, 258, 259, 261, 266, 268, 272, 276, 280, 282, 285, 287,
            290, 294, 295, 299, 301, 304, 305, 306, 310, 315, 319, 322, 323, 324,
            328, 329, 341, 344, 345, 348, 354, 360, 363, 368, 370, 372, 375, 376,
            377, 380, 384, 387, 402, 406, 407, 413, 414, 424, 430, 434, 435, 444,
            451, 460, 465, 469]
);

with result 5.768... which is less than 6.

(Thanks for taking back the "achieve a(n)" misinterpretation. So I was able to
cancel my related response. But please use the a = A101877 in the subject line,
which I forgot in my first posting.)

Cheers,
Rainer Rosenthal
r.rosenthal at web.de