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

1,2

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

References

Elena Deza and Michel Marie Deza, Figurate numbers, World Scientific Publishing (2012), page 433.

Links

Table of n, a(n) for n=1..16.

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.

Sequence in context: A167045 A262753 A055851 * A087374 A081948 A191273

Adjacent sequences: A025491 A025492 A025493 * A025495 A025496 A025497

Keyword

nonn,more

Author

David W. Wilson

Status

approved