A025494 Squares which are the sum of factorials of distinct integers (probably finite).

1, 4, 9, 25, 121, 144, 729, 841, 5041, 5184, 45369, 46225, 363609, 403225, 3674889, 1401602635449

Offset: 1

Author

David W. Wilson

Keywords

• nonn

Comments

No other elements < 31!. - Paul.Jobling(AT)WhiteCross.com, Aug 10 2000

If there are any terms in either A014597 or A025494 beyond the last one given (i.e., n = 1183893 in A014597; equivalently n^2 = 1401602635449 in A025494), then n^2 must be greater than 48! (about 1.24139*10^61). - Jon E. Schoenfield, Aug 04 2006

Links

• Shyam Sunder Gupta, Fascinating Factorials, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 16, 411-442.

Crossrefs

Cf. A002034, A018194, A051760, A051761, A014597, A059589.

Subsequence of A059589.