A097642 - OEIS

A097642

Numbers k such that k = (d_1! + d_2! + ... + d_k!) - (d_1 + d_2 + ... + d_k) where d_1 d_2 ... d_k is the decimal expansion of k.

3, 115, 6576, 80855

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OFFSET

1,1

LINKS

EXAMPLE

80855 is in the sequence because 80855 = (8! + 0! + 8! + 5! + 5!) - (8 + 0 + 8 + 5 + 5).

MATHEMATICA

okQ[n_]:=Module[{idn=IntegerDigits[n]}, n==Total[idn!]-Total[idn]]; Select[Range[81000], okQ] (* Harvey P. Dale, Aug 26 2011 *)

CROSSREFS

KEYWORD

base,fini,full,nice,nonn

AUTHOR

STATUS

approved