A263265 Irregular triangle T(n,k), n >= 0, k = 1 .. A262507(n), read by rows, where each row n lists in ascending order all integers x for which A155043(x) = n.

0, 1, 2, 3, 4, 6, 5, 8, 9, 10, 12, 7, 11, 14, 18, 13, 15, 16, 20, 22, 17, 24, 25, 26, 28, 30, 19, 21, 32, 34, 23, 38, 40, 42, 27, 44, 46, 48, 29, 36, 49, 50, 52, 54, 56, 60, 31, 33, 58, 72, 35, 62, 66, 84, 37, 39, 68, 70, 96, 41, 45, 74, 76, 78, 80, 104, 108, 43, 47, 81, 82, 88, 90, 120, 51, 83, 85, 86, 94, 128, 132, 53, 55, 87, 92, 102, 136, 140

Offset: 0

Author

Antti Karttunen, Nov 24 2015

Keywords

• nonn
• tabf

Examples

			Rows 0 - 8 of the triangle:
0;
1, 2;
3, 4, 6;
5, 8, 9, 10, 12;
7, 11, 14, 18;
13, 15, 16, 20, 22;
17, 24, 25, 26, 28, 30;
19, 21, 32, 34;
23, 38, 40, 42;
Row n contains A262507(n) terms, the first of which is A261089(n) and the last of which is A262503(n). For all terms on row n, A155043(n) = n.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 0..125752; rows 0 .. 10001 of the irregular table
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Inverse: A263266.

Cf. A261089 (left edge), A262503 (right edge), A262507 (number of terms on each row).

Cf. A263279 (gives the positions of terms of A259934 on each row), A263280 (and their distance from the right edge).

Cf. A155043, A263259, A263270.

Cf. also permutations A263267 & A263268 and A263255 & A263256.

Differs from A263267 for the first time at n=31, where a(31) = 38, while A263267(31) = 40.

Formula

Other identities. For all n >= 0:

A155043(a(n)) = A263270(n).