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A247616 Numbers with more than two distinct digits in arithmetic progression. 2
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 (list; graph; refs; listen; history; text; internal format)
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: A341992 A077378 A031509 * A119426 A138059 A302459

Adjacent sequences:  A247613 A247614 A247615 * A247617 A247618 A247619

KEYWORD

nonn,base,fini,full

AUTHOR

Reinhard Zumkeller, Sep 21 2014

STATUS

approved

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Last modified October 26 04:54 EDT 2021. Contains 348256 sequences. (Running on oeis4.)