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A265332 a(n) is the index of the column in A265901 where n appears; also the index of the row in A265903 where n appears. 15
1, 2, 1, 3, 1, 1, 2, 4, 1, 1, 1, 2, 1, 2, 3, 5, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 6, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 7, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 1, 2, 1, 1, 2, 1, 2, 3, 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 1, 2, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If all 1's are deleted, the remaining terms are the sequence incremented. - after Franklin T. Adams-Watters Oct 05 2006 comment in A051135.

Ordinal transform of A162598.

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..8192

T. Kubo and R. Vakil, On Conway's recursive sequence, Discr. Math. 152 (1996), 225-252.

FORMULA

a(1) = 1; for n > 1, a(n) = A051135(n).

EXAMPLE

Illustration how the sequence can be constructed by concatenating the frequency counts Q_n of each successive level n of A004001-tree:

--

             1                                      Q_0 = (1)

             |

            _2__                                    Q_1 = (2)

           /    \

         _3    __4_____                             Q_2 = (1,3)

        /     /  |     \

      _5    _6  _7    __8___________                Q_3 = (1,1,2,4)

     /     /   / |   /  |  \        \

   _9    10  11 12  13  14  15___    16_________    Q_4 = (1,1,1,2,1,2,3,5)

  /     /   /  / |  /  / |   |\  \   | \  \  \  \

17    18  19 20 21 22 23 24 25 26 27 28 29 30 31 32

--

The above illustration copied from the page 229 of Kubo and Vakil paper (page 5 in PDF).

PROG

(Scheme) (define (A265332 n) (if (= 1 n) 1 (A051135 n)))

CROSSREFS

Essentially same as A051135 apart from the initial term, which here is set as a(1)=1.

Cf. A004001, A265901, A265903.

Cf. A162598 (corresponding other index).

Cf. A265754.

Cf. also A267108, A267109, A267110.

Sequence in context: A123507 A188804 A122580 * A107041 A281426 A070099

Adjacent sequences:  A265329 A265330 A265331 * A265333 A265334 A265335

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 09 2016

STATUS

approved

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Last modified August 19 18:33 EDT 2019. Contains 326133 sequences. (Running on oeis4.)