A350601 Array read by antidiagonals: row n lists even numbers that are "generated" (in Kaprekar's sense) in all bases 2, 4, 6, ..., 2n.

0, 0, 2, 0, 2, 8, 0, 2, 10, 10, 0, 2, 10, 12, 12, 0, 2, 10, 14, 14, 14, 0, 2, 10, 14, 16, 16, 16, 0, 2, 10, 14, 22, 22, 22, 20, 0, 2, 10, 14, 22, 24, 24, 24, 22, 0, 2, 10, 14, 22, 24, 28, 28, 26, 24

Offset: 1

Author

N. J. A. Sloane, Jan 08 2022

Keywords

• nonn
• tabl
• more

Comments

Max Alekseyev's PARI "Gen" program (see A010061) is essential for computing the rows. Cf. A349833.

Examples

			The initial rows of the array are:
  0, 2,  8, 10, 12, 14, 16, 20, 22, 24, 26, 28, 34, 36, 38, 40, 42, 44, 50, 52,  ... [the even terms of A228082]
  0, 2, 10, 12, 14, 16, 22, 24, 26, 28, 34, 36, 38, 40, 44, 50, 58, 60, 62, 66  ... [A349831]
  0, 2, 10, 14, 16, 22, 24, 28, 34, 36, 38, 44, 50, 58, 60, 62, 66, 68, 72, 74,  ... [A349832]
  0, 2, 10, 14, 22, 24, 28, 36, 38, 44, 50, 58, 60, 62, 66, 68, 74, 76, 82, 84,  ... [A349833]
  0, 2, 10, 14, 22, 24, 28, 36, 38, 44, 50, 58, 60, 62, 66, 68, 74, 76, 82, 84,  ...
  0, 2, 10, 14, 22, 28, 36, ...
  0, 2, 10, 14, 22, 36, ...
  0, 2, 10, 14, 22, 36,...
  0, 2, 10, 14, 22, ...
...
The rows converge to A230624, which is
  0, 2, 10, 14, 22, 38, 62, 94, 158, 206, 318, 382, 478, 606, 766, 958, 1022, ...
The initial antidiagonals are:
  0,
  0, 2,
  0, 2, 8,
  0, 2, 10, 10,
  0, 2, 10, 12, 12,
  0, 2, 10, 14, 14, 14,
  0, 2, 10, 14, 16, 16, 16,
  0, 2, 10, 14, 22, 22, 22, 20,
  0, 2, 10, 14, 22, 24, 24, 24, 22,
  0, 2, 10, 14, 22, 24, 28, 28, 26, 24,
  ...
		

Links

• Index entries for Colombian or self numbers and related sequences

Crossrefs

The first few rows of the array are A228082 (even terms only), A349831, A349832, and A349833.

Cf. A003052, A010061, A230624.

Extensions

[Needs checking and extending]