A281942 Nonnegative numbers whose digits can be formed by typing adjacent keys on a 123-456-789-0XX keypad without repeating a digit.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 14, 21, 23, 25, 32, 36, 41, 45, 47, 52, 54, 56, 58, 63, 65, 69, 70, 74, 78, 85, 87, 89, 96, 98, 123, 125, 145, 147, 214, 236, 254, 256, 258, 321, 325, 365, 369, 412, 452, 456, 458, 470, 478, 521, 523, 541, 547, 563, 569, 587, 589, 632, 652, 654, 658, 698, 741

Offset: 1

Author

FUNG Cheok Yin, Feb 02 2017

Keywords

• nonn
• fini
• base
• full

Comments

A subsequence of A010784. - FUNG Cheok Yin, Jul 05 2018

Examples

			The keypad is:
+---+---+---+
| 1 | 2 | 3 |
+---+---+---+
| 4 | 5 | 6 |
+---+---+---+
| 7 | 8 | 9 |
+---+---+---+
| 0 | x | x |
+---+---+---+
It is visibly obvious that 470 can be formed on the keypad.
		

Links

• FUNG Cheok Yin, Table of n, a(n) for n = 1..725

Crossrefs

Cf. A010784, A280593, A280594, A280595, A281943, A215009.

Extensions

Initial 0 added by N. J. A. Sloane, Feb 05 2017