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 A139174 a(n) = (n!-4)/4. 12
 5, 29, 179, 1259, 10079, 90719, 907199, 9979199, 119750399, 1556755199, 21794572799, 326918591999, 5230697471999, 88921857023999, 1600593426431999, 30411275102207999, 608225502044159999 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,1 COMMENTS In the solution set of the equation, n! + s^2 = m^2, for any n>=4 the maximum value of s is (n!-4)/4. - Sudipta Mallick, Jul 27 2019 LINKS Sudipta Mallick, Table of n, a(n) for n = 4..400 (terms 4..300 from Vincenzo Librandi) FORMULA a(n) = numerator(((n+2)!-4)/(7*(n+2)!)), with offset 2. [Gary Detlefs, Nov 07 2010] E.g.f.: -exp(x)-(12+x^2*(-6+(-4+x)*x))/(12*(-1+x)). - Stefano Spezia, Sep 08 2019 MATHEMATICA Table[(n! - 4)/4, {n, 4, 20}] PROG (MAGMA) [(Factorial(n)-4)/4: n in [4..25]]; // Vincenzo Librandi, Jul 20 2011 CROSSREFS Cf. A033312, A139172, A139173, A139174, A139175, A139176, A139177, A139183, A139184. Sequence in context: A160906 A163073 A190802 * A290117 A153296 A194723 Adjacent sequences:  A139171 A139172 A139173 * A139175 A139176 A139177 KEYWORD nonn,easy AUTHOR Artur Jasinski, Apr 11 2008 EXTENSIONS Definition corrected by Gary Detlefs, Nov 07 2010 STATUS approved

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Last modified November 28 16:42 EST 2021. Contains 349413 sequences. (Running on oeis4.)