

A080035


"Orderly" Friedman numbers (or "good" Friedman numbers): Friedman numbers (A036057) where the construction digits are used in the proper order.


7



127, 343, 736, 1285, 2187, 2502, 2592, 2737, 3125, 3685, 3864, 3972, 4096, 6455, 11264, 11664, 12850, 13825, 14641, 15552, 15585, 15612, 15613, 15617, 15618, 15621, 15622, 15623, 15624, 15626, 15632, 15633, 15642, 15645, 15655, 15656
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OFFSET

1,1


COMMENTS

Primes in this sequence are listed in A252483. The subsequence A156954 is a "simplified" variant where no parentheses, unary operations (negation) nor concatenation is allowed.  M. F. Hasler, Jan 07 2015


REFERENCES

Credit goes to Mike Reid (Brown University) and Eric Friedman (Stetson University).
Colin Rose, "Radical Narcissistic numbers", J. Recreational Mathematics, vol. 33, (20042005), pp. 250254. See page 251.


LINKS



EXAMPLE

127 = 1 + 2^7, 343 = (3 + 4) ^ 3, 736 = 7 + 3^6, etc.
The 4th "orderly" Freidman number is 1285 = (1 + 2^8) * 5.


CROSSREFS



KEYWORD

nonn,base,nice


AUTHOR

David Rattner (david_rattner(AT)prusec.com), Mar 14 2003


EXTENSIONS



STATUS

approved



