A182478 Numbers that can be truncated in base 10 such that the sum of the factorials of the truncations equals that number.

1, 2, 145, 40585, 6402374184741226, 121645100891988866, 121666023198802103, 121666023198802144, 2432902008177819519, 2432902008217006118, 2432902008656812499, 4872206390059820318, 51090942171710539003, 51090942171710539044, 51090942171710539115

Offset

1,2

Links

Vilém Gutvald, Table of n, a(n) for n = 1..53

Vilém Gutvald, 2 digit truncations in a(n) for n = 1..53

Example

a(5) = 6402374184741226 = 6!+4!+(02)!+3!+7!+4!+18!+4!+7!+4!+12!+2!+6!.
a(6): 2-digit-truncations are 12, 10, 19
a(7): 2-digit-truncs are 16, 19
a(8): 2-digit-truncs are 16, 19
a(9): 2-digit-trunc is 20
a(10): 2-digit-truncs are 20, 11
a(11): 2-digit-truncs are 20, 12
a(12): 2-digit-truncs are 20, 20, 18
a(13): 2-digit-trunc is 21
a(14): 2-digit-trunc is 21
a(15): 2-digit-trunc is 21

Crossrefs

A014080 is a subsequence.

Sequence in context: A071064 A265442 A014080 * A214910 A328228 A316889

Adjacent sequences: A182475 A182476 A182477 * A182479 A182480 A182481

Keyword

nonn,base,hard

Author

Bodo Zinser, May 01 2012

Extensions

a(13)-a(15) from Vilém Gutvald, Nov 25 2025

Status

approved