A226273 Number of distinct values u^v, where u and v are digits occurring in decimal representation of n.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 1, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 1, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 1, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 1, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 1, 4, 4, 3, 3, 4, 4, 4, 4

Offset

0,11

Comments

Row lengths in table A226272;

a(n) <= 61; A171102(1) = 1023456789 is the smallest number m such that a(m) = 61.

a(n) = 61 for almost all n, in the sense that the natural density of n such that a(n) < 61 is 0. - Charles R Greathouse IV, May 13 2015

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

Example

See A226272.

Prog

(Haskell)
a226273 = length . a226272_row :: Integer -> Int
(PARI) a(n)=if(n<9, return(1)); my(d=Set(digits(n)), v=List()); for(i=1, #d, for(j=1, #d, listput(v, d[i]^d[j]))); #Set(v) \\ Charles R Greathouse IV, May 13 2015

Crossrefs

Sequence in context: A125087 A271373 A307558 * A111353 A038565 A344869

Adjacent sequences: A226270 A226271 A226272 * A226274 A226275 A226276

Keyword

nonn,base

Author

Reinhard Zumkeller, Jul 09 2013

Status

approved