A247616 Numbers with more than two distinct digits in arithmetic progression.

123, 135, 147, 159, 210, 234, 246, 258, 321, 345, 357, 369, 420, 432, 456, 468, 531, 543, 567, 579, 630, 642, 654, 678, 741, 753, 765, 789, 840, 852, 864, 876, 951, 963, 975, 987, 1234, 1357, 2345, 2468, 3210, 3456, 3579, 4321, 4567, 5432, 5678, 6420, 6543

Offset: 1

Author

Reinhard Zumkeller, Sep 21 2014

Keywords

• nonn
• base
• fini
• full

Comments

A135643 without repdigit numbers (cf. A010785);

finite sequence with last and largest term a(96) = 9876543210.

Examples

			a(40) = 2468 with constant digit differences = +2;
a(41) = 3210 with constant digit differences = -1;
a(42) = 3456 with constant digit differences = +1.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..96

Crossrefs

Subsequence of A135643.

Programs

Haskell

a247616 n = a247616_list !! (n-1)
a247616_list = filter f [100 .. 9876543210] where
   f x = head vs /= 0 && all (== 0) ws where
         ws = zipWith (-) (tail vs) vs
         vs = zipWith (-) (tail us) us
         us = map (read . return) $ show x