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 A257823 Positive integers whose square is the sum of 59 consecutive squares. 11
 413, 531, 8673, 11269, 426511, 554187, 9192849, 11944727, 452101247, 587437689, 9744411267, 12661399351, 479226895309, 622683396153, 10329066750171, 13421071367333, 507980056926293, 660043812484491, 10948801010769993, 14226322987973629, 538458381114975271 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Positive integers x in the solutions to 2*x^2-118*y^2-6844*y-133458 = 0. LINKS Colin Barker, Table of n, a(n) for n = 1..1000 Index entries for linear recurrences with constant coefficients, signature (0,0,0,1060,0,0,0,-1). FORMULA a(n) = 1060*a(n-4)-a(n-8). G.f.: -59*x*(x-1)*(7*x^6+16*x^5+163*x^4+354*x^3+163*x^2+16*x+7) / (x^8-1060*x^4+1). EXAMPLE 413 is in the sequence because 413^2 = 170569 = 22^2+23^2+...+80^2. MATHEMATICA LinearRecurrence[{0, 0, 0, 1060, 0, 0, 0, -1}, {413, 531, 8673, 11269, 426511, 554187, 9192849, 11944727}, 30] (* Vincenzo Librandi, May 11 2015 *) PROG (PARI) Vec(-59*x*(x-1)*(7*x^6+16*x^5+163*x^4+354*x^3+163*x^2+16*x+7) / (x^8-1060*x^4+1) + O(x^100)) (MAGMA) I:=[413, 531, 8673, 11269, 426511, 554187, 9192849, 11944727]; [n le 8 select I[n] else 1060*Self(n-4)-Self(n-8): n in [1..30]]; // Vincenzo Librandi, May 11 2015 CROSSREFS Cf. A001653, A180274, A218395, A257761, A257765, A257767, A257780, A257781, A257824-A257828. Sequence in context: A234190 A234185 A282127 * A250901 A205755 A250945 Adjacent sequences:  A257820 A257821 A257822 * A257824 A257825 A257826 KEYWORD nonn,easy AUTHOR Colin Barker, May 10 2015 STATUS approved

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Last modified February 18 19:50 EST 2019. Contains 320262 sequences. (Running on oeis4.)