A329529 Numbers k such that the sum of first k lucky numbers, A046279(k), is divisible by k.

1, 2, 4, 6, 44, 124, 138, 224, 620, 4884, 17482, 32130, 83185, 253576, 276933, 386916, 888823, 12359950, 113944389, 129750250, 140503288, 143011869

Offset

1,2

Links

Table of n, a(n) for n=1..22.

Example

4 is in the sequence since the sum of the first 4 lucky numbers, 1 + 3 + 7 + 9 = 20 is divisible by 4.
The corresponding last lucky number in each sum, the sum and the quotient are:
n  a(n)      A000959(a(n)) A046279(a(n))      A046279(a(n))/a(n)
1  1         1             1                  1
2  2         3             4                  2
3  4         9             20                 5
4  6         15            48                 8
5  44        223           4488               102
6  124       777           44144              356
7  138       895           55890              405
8  224       1567          161280             720
9  620       5103          1466920            2366
10 4884      52291         120546888          24682
11 17482     213771        1777639688         101684
12 32130     416227        6378929550         198535
13 83185     1171177       46662209825        560945
14 253576    3902389       475856917960       1876585
15 276933    4289821       571527402075       2063775
16 386916    6145429       1145007096372      2959317
17 888823    14979331      6426527153917      7230379
18 12359950  245884005     1475626002615000   119387700
19 113944389 2555733867    141909851205948033 1245430797
20 129750250 2929396777    185255397118627500 1427784510
21 140503288 3184866705    218128021882008640 1552476280
22 143011869 3244610263    226192450002239721 1581634109

Crossrefs

Cf. A000959, A045345, A046279.

Cf. also A329528.

Sequence in context: A283157 A344422 A084324 * A333456 A348244 A066220

Adjacent sequences: A329526 A329527 A329528 * A329530 A329531 A329532

Keyword

nonn,more

Author

Amiram Eldar, Nov 15 2019

Extensions

a(19)-a(22) from Giovanni Resta, May 10 2020

Status

approved