A275814 -id:A275814 - cp's OEIS frontend

A060131 a(n) = A072411(A275725(n)); order of each permutation listed in tables A060117 and A060118, i.e., the least common multiple of the cycle sizes.

1, 2, 2, 3, 2, 3, 2, 2, 3, 4, 3, 4, 2, 3, 3, 4, 2, 4, 2, 3, 2, 4, 3, 4, 2, 2, 2, 6, 2, 6, 3, 6, 4, 5, 4, 5, 3, 4, 4, 5, 6, 5, 3, 4, 6, 5, 4, 5, 2, 2, 3, 4, 3, 4, 3, 6, 4, 5, 4, 5, 2, 6, 4, 5, 6, 5, 2, 6, 6, 5, 4, 5, 2, 3, 3, 4, 2, 4, 2, 6, 4, 5, 6, 5, 3, 4, 4, 5, 6, 5, 2, 4, 6, 5, 6, 5, 2, 3, 2, 4, 3, 4, 2, 6, 6, 5, 4, 5, 2, 4, 6, 5, 6, 5, 3, 4, 6, 5, 4, 5, 2

Offset: 0

Antti Karttunen, Mar 05 2001

nonn

Antti Karttunen, Table of n, a(n) for n = 0..40320
Index entries for sequences related to lcm's

Cf. A055092, A060117, A060118, A060120, A072411, A275725.
Cf. A261220 (gives the positions of 1 and 2's).
Cf. A275813 (indices of odd terms), A275814 (indices of even terms).

(define (A060131 n) (A072411 (A275725 n)))

From Antti Karttunen, Aug 09 2016: (Start)
a(n) = A072411(A275725(n)).
a(n) = A055092(A060120(n)).
(End)

A275834 Positions of even terms in A275832; indices of those permutations in tables A060117 & A060118 where element 1 is in an even cycle.

Original entry on oeis.org

1, 4, 7, 9, 11, 15, 16, 17, 18, 20, 21, 23, 25, 28, 31, 34, 37, 40, 43, 46, 49, 51, 53, 55, 58, 66, 68, 70, 75, 76, 77, 85, 88, 90, 91, 92, 96, 98, 99, 101, 102, 104, 106, 108, 109, 110, 115, 118, 121, 124, 127, 129, 131, 135, 136, 137, 138, 140, 141, 143, 145, 148, 151, 153, 155, 159, 160, 161, 162, 164, 165, 167, 169, 172, 175, 177, 179

Offset: 1

Antti Karttunen, Aug 11 2016

nonn

Equally: positions of even terms in A275726.

Antti Karttunen, Table of n, a(n) for n = 1..10000
Indranil Ghosh, Python program for computing this sequence
Index entries for sequences related to factorial base representation

Complement: A275833.
A subsequence of A273670 and A275814.
Cf. A060117, A060118, A275726, A275832.

A275813 Positions of odd terms in A060131; indices of permutations of an odd order in tables A060117 & A060118.

Original entry on oeis.org

0, 3, 5, 8, 10, 13, 14, 19, 22, 30, 33, 35, 36, 39, 41, 42, 45, 47, 50, 52, 54, 57, 59, 63, 65, 69, 71, 73, 74, 81, 83, 84, 87, 89, 93, 95, 97, 100, 105, 107, 111, 113, 114, 117, 119, 144, 147, 149, 152, 154, 157, 158, 163, 166, 168, 171, 173, 176, 178, 181, 182, 187, 190, 192, 195, 197, 200, 202, 205, 206, 211, 214, 216, 219, 221

Offset: 0

Antti Karttunen, Aug 10 2016

nonn

Indexing starts with zero, because a(0) = 0 (indicating an identity permutation) is a special case in this sequence.

Antti Karttunen, Table of n, a(n) for n = 0..16384
Index entries for sequences related to factorial base representation

Complement: A275814.
Cf. A060117, A060118, A060131.
Cf. A275809 (a subsequence).

cp's OEIS Frontend

A060131 a(n) = A072411(A275725(n)); order of each permutation listed in tables A060117 and A060118, i.e., the least common multiple of the cycle sizes.

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A275834 Positions of even terms in A275832; indices of those permutations in tables A060117 & A060118 where element 1 is in an even cycle.

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A275813 Positions of odd terms in A060131; indices of permutations of an odd order in tables A060117 & A060118.

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