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

Offset

1,2

Links

Table of n, a(n) for n=1..12.

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

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

Status

approved