A220661 -id:A220661 - cp's OEIS frontend

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

Antti Karttunen, Dec 18 2012

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.

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

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

Cf. A220661, A030298.

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

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

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

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

A236858 Irregular table where row n contains numbers from 1 to the least common multiple (LCM) of {1, 2, ..., n}. Row 0 is given as a(0)=1.

Original entry on oeis.org

1, 1, 1, 2, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 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, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60

Offset: 0

Antti Karttunen, Feb 27 2014

Numbers 1..A003418(n) followed by numbers 1..A003418(n+1), etc., where A003418(n) gives the least common multiple (LCM) of {1, 2, ..., n} for n >= 1 and A003418(0)=1.

Useful when computing irregular tables like A238280. Note that as A238280 begins with row 1, it starts referring to this sequence only from a(1) onward.

			The sequence can be viewed also as an irregular table that starts as:
0 | 1;
1 | 1;
2 | 1, 2;
3 | 1, 2, 3, 4, 5, 6;
4 | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12;
...

Antti Karttunen, Rows 0..10 of the table, flattened

A003418(n) gives the last term of each row n.

Cf. A220661, A236856, A236857, A238280.

Join[{1},Table[Range[LCM@@Range[n]],{n,6}]//Flatten] (* Harvey P. Dale, Apr 29 2019 *)

(define (A236858 n) (- n (A236856 (- (A236857 n) 1))))

a(n) = n - A236856(A236857(n)- 1).

cp's OEIS Frontend

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

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