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.

A261934 The first of ten consecutive positive integers the sum of the squares of which is equal to the sum of the squares of two consecutive positive integers.

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%I A261934 #7 Mar 29 2018 16:29:37
%S A261934 7,17,26,52,205,383,544,1010,3755,6949,9838,18200,67457,124771,176612,
%T A261934 326662,1210543,2239001,3169250,5861788,21722389,40177319,56869960,
%U A261934 105185594,389792531,720952813,1020490102,1887478976,6994543241,12936973387,18311951948
%N A261934 The first of ten consecutive positive integers the sum of the squares of which is equal to the sum of the squares of two consecutive positive integers.
%C A261934 For the first of the corresponding two consecutive positive integers, see A261932.
%H A261934 Colin Barker, <a href="/A261934/b261934.txt">Table of n, a(n) for n = 1..1000</a>
%H A261934 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,18,-18,0,0,-1,1).
%F A261934 G.f.: x*(2*x^8+2*x^7+x^6+2*x^5-27*x^4-26*x^3-9*x^2-10*x-7) / ((x-1)*(x^4-4*x^2-1)*(x^4+4*x^2-1)).
%e A261934 7 is in the sequence because 7^2 + 8^2 + ... + 16^2 = 26^2 + 27^2.
%t A261934 LinearRecurrence[{1,0,0,18,-18,0,0,-1,1},{7,17,26,52,205,383,544,1010,3755},40] (* _Harvey P. Dale_, Mar 29 2018 *)
%o A261934 (PARI) Vec(x*(2*x^8+2*x^7+x^6+2*x^5-27*x^4-26*x^3-9*x^2-10*x-7)/((x-1)*(x^4-4*x^2-1)*(x^4+4*x^2-1)) + O(x^40))
%Y A261934 Cf. A001652, A031138, A261932, A261933, A261935.
%K A261934 nonn,easy
%O A261934 1,1
%A A261934 _Colin Barker_, Sep 06 2015