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 A260373 The nearest perfect square to n! 3
 1, 1, 1, 4, 25, 121, 729, 5041, 40401, 362404, 3629025, 39917124, 478996996, 6226945921, 87178467600, 1307674583296, 20922793332736, 355687416544329, 6402373660047556, 121645100663836929, 2432902009335560361, 51090942169052381124, 1124000727752683686724 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS a(n) is well defined as the squares are alternatingly odd and even and thus the average of two successive squares is not an integer and thus no integer is equidistant to two successive squares. - Chai Wah Wu, Jul 24 2015 LINKS FORMULA a(n) = A055227(n)^2. EXAMPLE 6! = 720. The nearest perfect square is 729. PROG (PARI) a(n)=round(sqrt(n!))^2 \\ Charles R Greathouse IV, Jul 23 2015 (Python) from gmpy2 import isqrt A260373_list, g = [1], 1 for i in range(1, 101): ....g *= i ....s = isqrt(g) ....t = s**2 ....A260373_list.append(int(t if g-t-s <= 0 else t+2*s+1)) # Chai Wah Wu, Jul 23 2015 CROSSREFS Cf. A055227, A260374. Sequence in context: A013187 A069639 A013582 * A175733 A240479 A317949 Adjacent sequences:  A260370 A260371 A260372 * A260374 A260375 A260376 KEYWORD nonn,easy AUTHOR Otis Tweneboah, Pratik Koirala, Eugene Fiorini, Nathan Fox, Jul 23 2015 STATUS approved

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Last modified October 19 02:41 EDT 2019. Contains 328211 sequences. (Running on oeis4.)