A220660 Irregular table, where the n-th row consists of numbers 0..(n!-1).

0, 0, 1, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39

Offset: 1

Author

Antti Karttunen, Dec 18 2012

Keywords

• nonn
• tabf

Comments

Used for computing A030298: a(n) tells the zero-based ranking of the n-th permutation in A030298 (A030299(n)) in the lexicographical ordering of all finite permutations of the same size.

Examples

			Rows of this irregular table begin as:
0;
0, 1;
0, 1, 2, 3, 4, 5;
		

Links

• Antti Karttunen, The rows 1..7 of the irregular table, flattened.

Crossrefs

Cf. A220661, A030298.

Programs

Mathematica

Table[Range[0,n!-1],{n,5}]//Flatten (* Harvey P. Dale, Feb 27 2017 *)

Scheme

(define (A220660 n) (- n (A007489 (-1+ (A084556 n))) 1))

Formula

a(n) = n - A007489(A084556(n)-1) - 1.

a(n) = A220661(n)-1.