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A220660 Irregular table, where the n-th row consists of numbers 0..(n!-1). 5
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,6
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.
LINKS
FORMULA
a(n) = n - A007489(A084556(n)-1) - 1.
a(n) = A220661(n)-1.
EXAMPLE
Rows of this irregular table begin as:
0;
0, 1;
0, 1, 2, 3, 4, 5;
MATHEMATICA
Table[Range[0, n!-1], {n, 5}]//Flatten (* Harvey P. Dale, Feb 27 2017 *)
PROG
(Scheme): (define (A220660 n) (- n (A007489 (-1+ (A084556 n))) 1))
CROSSREFS
Sequence in context: A257687 A309957 A365459 * A257846 A203572 A195829
KEYWORD
nonn,tabf
AUTHOR
Antti Karttunen, Dec 18 2012
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)