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A130403 Signature permutations of SPINE-transformations of A057163-conjugates of Catalan automorphisms in table A122204. 31
0, 1, 0, 2, 1, 0, 3, 3, 1, 0, 4, 2, 2, 1, 0, 5, 7, 3, 2, 1, 0, 6, 8, 4, 3, 2, 1, 0, 7, 6, 5, 4, 3, 2, 1, 0, 8, 4, 7, 5, 4, 3, 2, 1, 0, 9, 5, 6, 6, 5, 4, 3, 2, 1, 0, 10, 17, 8, 8, 8, 5, 4, 3, 2, 1, 0, 11, 18, 9, 7, 6, 8, 5, 5, 3, 2, 1, 0, 12, 20, 10, 9, 7, 7, 7, 4, 4, 3, 2, 1, 0, 13, 21, 12, 10, 9, 6 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Row n is the signature permutation of the Catalan automorphism which is obtained from A057163-conjugate of the n-th automorphism in the table A122204 with the recursion scheme "SPINE", i.e. row n is obtained as SPINE(A057163 o ENIPS(A089840[n]) o A057163). See A122203 and A122204 for the description of SPINE and ENIPS. Each row occurs only once in this table. Inverses of these permutations can be found in table A130402. This table contains also all the rows of A122203 and A089840.

LINKS

Table of n, a(n) for n=0..96.

CROSSREFS

Cf. The first 22 rows of this table: row 0 (identity permutation): A001477, 1: A082345, 2: A130936, 3: A073288, 4: A130942, 5: A130940, 6: A130938, 7: A130944, 8: A130946, 9: A130952, 10: A130950, 11: A130948, 12: A057161, 13: A130962, 14: A130964, 15: A069767, 16: A130966, 17: A074688, 18: A130954, 19: A130956, 20: A130960, 21: A130958, Other rows: 169: A069770, 3617: A082339, 65167: A057501.

Cf. also tables A089840, A122201-A122204, A122285-A122286, A130400-A130401.

Cf. As a sequence differs from A130403 for the first time at n=92, where a(n)=21, while A130403(n)=22.

Sequence in context: A186904 A216216 A078803 * A130402 A089840 A130400

Adjacent sequences:  A130400 A130401 A130402 * A130404 A130405 A130406

KEYWORD

nonn,tabl

AUTHOR

Antti Karttunen, Jun 11 2007

STATUS

approved

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Last modified March 19 15:02 EDT 2019. Contains 321330 sequences. (Running on oeis4.)