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.

A329418 Lazy caterer's numbers (A000124) that are also cake numbers (A000125).

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%I A329418 #11 Jan 22 2020 14:47:00
%S A329418 1,2,4,232,15226
%N A329418 Lazy caterer's numbers (A000124) that are also cake numbers (A000125).
%C A329418 a(6) > 10^36, if it exists. - _Bert Dobbelaere_, Jan 18 2020
%H A329418 Wikipedia, <a href="https://en.wikipedia.org/wiki/Cake_number">Cake number</a>.
%H A329418 Wikipedia, <a href="https://en.wikipedia.org/wiki/Lazy_caterer%27s_sequence">Lazy caterer's sequence</a>.
%e A329418 The indices i and j such that a(n) = A000124(i) = A000125(j):
%e A329418   n   a(n)    i    j
%e A329418   1      1    0    0
%e A329418   2      2    1    1
%e A329418   3      4    2    2
%e A329418   4    232   21   11
%e A329418   5  15226  174   45
%t A329418 lazyCatererQ[n_] := IntegerQ @ Sqrt[8*n - 7]; cake[n_] := Binomial[n, 3] + n; Select[Table[cake[n], {n, 0, 100}], lazyCatererQ]
%Y A329418 Cf. A000124, A000125.
%K A329418 nonn,more
%O A329418 1,2
%A A329418 _Amiram Eldar_, Nov 29 2019