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.

A254443 Numbers n such that T(n) + T(n+1) + ... + T(n+21) is a square, where T(m) = A000217(m) is the m-th triangular number.

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%I A254443 #17 Jun 13 2015 00:55:23
%S A254443 35,75,911,1707,18383,34263,366947,683751,7320755,13640955,146048351,
%T A254443 272135547,2913646463,5429070183,58126881107,108309268311,
%U A254443 1159623975875,2160756296235,23134352636591,43106816656587,461527428756143,859975576835703,9207414222486467
%N A254443 Numbers n such that T(n) + T(n+1) + ... + T(n+21) is a square, where T(m) = A000217(m) is the m-th triangular number.
%C A254443 Positive integers y in the solutions to 2*x^2-22*y^2-484*y-3542 = 0.
%H A254443 Colin Barker, <a href="/A254443/b254443.txt">Table of n, a(n) for n = 1..1000</a>
%H A254443 <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (1,20,-20,-1,1).
%F A254443 G.f.: x*(9*x^4+4*x^3-136*x^2-40*x-35) / ((x-1)*(x^4-20*x^2+1)).
%o A254443 (PARI) Vec(x*(9*x^4+4*x^3-136*x^2-40*x-35)/((x-1)*(x^4-20*x^2+1)) + O(x^100))
%Y A254443 Cf. A176541, A176542, A000217, A000292, A001110, A077415.
%Y A254443 Cf. A116476 (length 11), A257293 (length 13).
%K A254443 nonn,easy
%O A254443 1,1
%A A254443 _Colin Barker_, May 04 2015