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Numbers that can be truncated in base 10 such that the sum of the factorials of the truncations equals that number.
0

%I #9 May 08 2012 12:26:31

%S 1,2,145,40585,6402374184741226,121645100891988866,121666023198802103,

%T 121666023198802144,2432902008177819519,2432902008217006118,

%U 2432902008656812499,4872206390059820318

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

%e a(5)=6402374184741226=6!+4!+(02)!+3!+7!+4!+18!+4!+7!+4!+12!+2!+6!

%e a(6): 2-digit-truncations are 12,10,19

%e a(7): 2-digit-truncs are 16,19

%e a(8): 2-digit-truncs are 16,19

%e a(9): 2-digit-trunc is 20

%e a(10): 2-digit-truncs are 20,11

%e a(11): 2-digit-truncs are 20,12

%e a(12): 2-digit-truncs are 20,20,18

%Y A014080 is a subsequence.

%K nonn,base,hard

%O 1,2

%A _Bodo Zinser_, May 01 2012