|
|
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
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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, (2004-2005), pp. 250-254. 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
|
|
|
|