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A227370 Permutation which maps between A227368 and A227369. 4
0, 1, 2, 4, 3, 6, 5, 8, 7, 9, 10, 11, 12, 13, 14, 16, 15, 18, 17, 20, 19, 22, 21, 24, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 35, 38, 37, 40, 39, 42, 41, 44, 43, 46, 45, 48, 47, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 64, 63, 66, 65, 68, 67 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Conjecture 1: This is an involution (self-inverse permutation) of nonnegative integers. (Which would imply that both formulas given in A227368 and A227369 involving A227370 are valid).

Conjecture 2: (which would automatically imply the conjecture 1): the only transpositions (used to compose the permutation) are of adjacent terms 2k-1 and 2k, where A061887 gives the values of k. This is true at least for the first 35 transpositions (up to k=60).

See the example section of A227368 to get a grasp of the problem.

LINKS

Antti Karttunen, Table of n, a(n) for n = 0..132

Index entries for sequences that are permutations of the natural numbers

FORMULA

a(n) = A227183(A227369(n)).

PROG

(Scheme) (define (A227370 n) (A227183 (A227369 n)))

CROSSREFS

Cf. A227368, A227369, A061887.

Sequence in context: A330340 A328696 A053629 * A135761 A086305 A328047

Adjacent sequences:  A227367 A227368 A227369 * A227371 A227372 A227373

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jul 08 2013

STATUS

approved

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Last modified April 5 03:15 EDT 2020. Contains 333238 sequences. (Running on oeis4.)