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

1,1

Comments

A135643 without repdigit numbers (cf. A010785);

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

Links

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

Example

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

Prog

(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

Crossrefs

Subsequence of A135643.

Sequence in context: A077378 A031509 A351479 * A119426 A138059 A302459

Adjacent sequences: A247613 A247614 A247615 * A247617 A247618 A247619

Keyword

nonn,base,fini,full

Author

Reinhard Zumkeller, Sep 21 2014

Status

approved