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.

A263948 Positive integers n such that (n+61)^3 - n^3 is a square.

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%I A263948 #9 Mar 05 2024 05:05:44
%S A263948 244,267607,260678620,253900737919,247299058084132,240869028673236295,
%T A263948 234606186628674096844,228506184907299897119407,
%U A263948 222564789493523471120235220,216777876460506953571212014519,211141429107744279254889381935932,205651535173066467487308686793612895
%N A263948 Positive integers n such that (n+61)^3 - n^3 is a square.
%H A263948 Colin Barker, <a href="/A263948/b263948.txt">Table of n, a(n) for n = 1..334</a>
%H A263948 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (975,-975,1).
%F A263948 a(n) = 975*a(n-1)-975*a(n-2)+a(n-3) for n>3.
%F A263948 G.f.: 61*x*(5*x^2-487*x-4) / ((x-1)*(x^2-974*x+1)).
%e A263948 244 is in the sequence because (244+61)^3 - 244^3 = 3721^2.
%t A263948 LinearRecurrence[{975, -975, 1}, {244, 267607, 260678620}, 15] (* _Paolo Xausa_, Mar 05 2024 *)
%o A263948 (PARI) Vec(61*x*(5*x^2-487*x-4)/((x-1)*(x^2-974*x+1)) + O(x^15))
%Y A263948 Cf. A263942 (4), A263943 (21), A263944 (28), A263945 (39), A263946 (52), A263947 (57), A263949 (84) where the parenthesized number is k in the expression (n+k)^3 - n^3.
%K A263948 nonn,easy
%O A263948 1,1
%A A263948 _Colin Barker_, Oct 30 2015