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A030717 Row 1, where, at stage k>1, write i in row 1 and j in row 2, where i is the number of j's in row 1, for j=1,2,...,m, where m=max number in row 1 from stages 1 to k-1; state 1 is 1 in row 1. 15
1, 1, 2, 2, 1, 3, 2, 3, 3, 1, 4, 3, 3, 4, 3, 5, 1, 5, 3, 6, 2, 1, 6, 4, 7, 2, 2, 1, 7, 6, 7, 3, 2, 2, 1, 8, 8, 8, 3, 2, 3, 3, 8, 9, 11, 3, 2, 3, 3, 3, 8, 10, 15, 3, 2, 3, 3, 4, 1, 1, 10, 11, 18, 4, 2, 3, 3, 5, 1, 1, 1, 1, 14, 12, 20, 5, 3, 3, 3, 5, 1, 2, 2, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Numbers j for which the count is 0 are omitted, cf. A333867 for the corresponding sequence where they are included. - Sean A. Irvine, Apr 08 2020

LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..1000

Sean A. Irvine, Java program (github)

EXAMPLE

1;

1;

2;

2, 1;

3, 2;

3, 3, 1;

4, 3, 3;

MATHEMATICA

t = {{1}}; Do[AppendTo[t, BinCounts[#, {1, Max[#] + 1}] &[Flatten[t]]], {25}];

DeleteCases[Flatten[t], 0]  (* Peter J. C. Moses, Apr 09 2020 *)

CROSSREFS

Cf. A030719 (row lengths), A006920, A030718 (column numbers).

Cf. A333867 (zeros included).

Sequence in context: A322529 A329949 A333867 * A280716 A319444 A071285

Adjacent sequences:  A030714 A030715 A030716 * A030718 A030719 A030720

KEYWORD

nonn,tabf,nice

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Franklin T. Adams-Watters, Dec 14 2006

Rolled back to original definition and data by Sean A. Irvine, Apr 08 2020

STATUS

approved

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Last modified March 6 11:01 EST 2021. Contains 341846 sequences. (Running on oeis4.)