A347794 The "Look and Say" version of the Inventory sequence A342585.

0, 1, 0, 1, 1, 0, 2, 3, 0, 3, 1, 1, 2, 2, 3, 0, 4, 5, 0, 5, 1, 3, 2, 4, 3, 2, 4, 2, 5, 0, 6, 7, 0, 6, 1, 6, 2, 5, 3, 3, 4, 4, 5, 3, 6, 1, 7, 0, 8, 9, 0, 8, 1, 7, 2, 8, 3, 5, 4, 6, 5, 5, 6, 3, 7, 3, 8, 1, 9, 0, 10, 11, 0, 10, 1, 8, 2, 11, 3, 6, 4, 8, 5, 7, 6, 5, 7, 6, 8, 2, 9, 2, 10, 2, 11, 0, 12

Offset

0,7

Comments

This sequences uses the same rules as the Inventory sequence A342585 except here each term is described using the "Look and Say" method of A005150. See the Examples below. Start with a(0) = 0.

Links

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

Scott R. Shannon, Image of the first 10 million terms.

Example

a(1) = 1 and a(2) = 0, as after a(0) there is "one 0".
a(3) = 1 and a(4) = 1, as after a(0)..a(2) there is "one 1".
a(5) = 0 and a(6) = 2, as after a(0)..a(4) there are "zero 2's". As a number with zero occurrences has appeared, the count resets back to counting zeros.
a(7) = 3 and a(8) = 0, as after a(0)..a(6) there are "three 0's".
a(9) = 3 and a(10) = 1 as after a(0)..a(8) there are "three 1's".
a(11) = 1 and a(12) = 2 as after a(0)..a(10) there is "one 2".
a(13) = 2 and a(14) = 3 as after a(0)..a(12) there are "two 3's".
a(15) = 0 and a(16) = 4 as after a(0)..a(14) there are "zero 4's". As a number with zero occurrences has appeared, the count resets back to counting zeros.

Crossrefs

Cf. A342585, A005150, A347317, A032531, A181391.

Sequence in context: A358840 A191716 A089235 * A317948 A334291 A051910

Adjacent sequences: A347791 A347792 A347793 * A347795 A347796 A347797

Keyword

nonn,base

Author

Scott R. Shannon, Sep 13 2021

Status

approved