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.

A386549 Indices of hexagonal numbers that are one-sixth of another hexagonal number.

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%I A386549 #8 Jul 27 2025 11:16:21
%S A386549 0,1,72,7031,688942,67509261,6615218612,648223914691,63519328421082,
%T A386549 6224245961351321,609912584884008352,59765209072671467151,
%U A386549 5856380576536919772422,573865531291545466230181,56232965685994918770785292,5510256771696210494070728411,539948930660542633500160598962
%N A386549 Indices of hexagonal numbers that are one-sixth of another hexagonal number.
%H A386549 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (99,-99,1).
%F A386549 G.f.: x^2 * (1 - 27*x + 2*x^2) / (1 - 99*x + 99*x^2 - x^3). - _Jinyuan Wang_, Jul 26 2025
%e A386549 72 is in this sequence because the 72th hexagonal number (10296) is one-sixth of another hexagonal number.
%Y A386549 Cf. A000384, A385917, A386550.
%K A386549 nonn,easy
%O A386549 1,3
%A A386549 _Kelvin Voskuijl_, Jul 25 2025
%E A386549 More terms from _Jinyuan Wang_, Jul 26 2025