cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A329529 #13 May 10 2020 19:30:40
%S A329529 1,2,4,6,44,124,138,224,620,4884,17482,32130,83185,253576,276933,
%T A329529 386916,888823,12359950,113944389,129750250,140503288,143011869
%N A329529 Numbers k such that the sum of first k lucky numbers, A046279(k), is divisible by k.
%e A329529 4 is in the sequence since the sum of the first 4 lucky numbers, 1 + 3 + 7 + 9 = 20 is divisible by 4.
%e A329529 The corresponding last lucky number in each sum, the sum and the quotient are:
%e A329529 n  a(n)      A000959(a(n)) A046279(a(n))      A046279(a(n))/a(n)
%e A329529 1  1         1             1                  1
%e A329529 2  2         3             4                  2
%e A329529 3  4         9             20                 5
%e A329529 4  6         15            48                 8
%e A329529 5  44        223           4488               102
%e A329529 6  124       777           44144              356
%e A329529 7  138       895           55890              405
%e A329529 8  224       1567          161280             720
%e A329529 9  620       5103          1466920            2366
%e A329529 10 4884      52291         120546888          24682
%e A329529 11 17482     213771        1777639688         101684
%e A329529 12 32130     416227        6378929550         198535
%e A329529 13 83185     1171177       46662209825        560945
%e A329529 14 253576    3902389       475856917960       1876585
%e A329529 15 276933    4289821       571527402075       2063775
%e A329529 16 386916    6145429       1145007096372      2959317
%e A329529 17 888823    14979331      6426527153917      7230379
%e A329529 18 12359950  245884005     1475626002615000   119387700
%e A329529 19 113944389 2555733867    141909851205948033 1245430797
%e A329529 20 129750250 2929396777    185255397118627500 1427784510
%e A329529 21 140503288 3184866705    218128021882008640 1552476280
%e A329529 22 143011869 3244610263    226192450002239721 1581634109
%Y A329529 Cf. A000959, A045345, A046279.
%Y A329529 Cf. also A329528.
%K A329529 nonn,more
%O A329529 1,2
%A A329529 _Amiram Eldar_, Nov 15 2019
%E A329529 a(19)-a(22) from _Giovanni Resta_, May 10 2020