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.

A343737 Highly composite 7-rough numbers: numbers that are not divisible by any prime smaller than 7 and whose number of divisors reaches a record.

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%I A343737 #17 Jun 30 2022 05:57:16
%S A343737 1,7,49,77,539,1001,5929,7007,17017,77077,119119,323323,1310309,
%T A343737 2263261,7436429,24895871,52055003,215656441,572605033,1509595087,
%U A343737 6685349671,16605545957,46797447697,215872097441,247357937827,514771924667,1731505564789,6692035020671
%N A343737 Highly composite 7-rough numbers: numbers that are not divisible by any prime smaller than 7 and whose number of divisors reaches a record.
%H A343737 Amiram Eldar, <a href="/A343737/b343737.txt">Table of n, a(n) for n = 1..150</a>
%e A343737    n   a(n)   prime factorization     number of divisors
%e A343737   --  ------  ----------------------  ------------------
%e A343737    1       1  -                                1
%e A343737    2       7  7                                2
%e A343737    3      49  7^2                              3
%e A343737    4      77  7   * 11                         4
%e A343737    5     539  7^2 * 11                         6
%e A343737    6    1001  7   * 11   * 13                  8
%e A343737    7    5929  7^2 * 11^2                       9
%e A343737    8    7007  7^2 * 11   * 13                 12
%e A343737    9   17017  7   * 11   * 13   * 17          16
%e A343737   10   77077  7^2 * 11^2 * 13                 18
%e A343737   11  119119  7^2 * 11   * 13   * 17          24
%Y A343737 Cf. A000005, A002182, A007775, A053624, A343734.
%K A343737 nonn
%O A343737 1,2
%A A343737 _Jon E. Schoenfield_, Jun 27 2021