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

Author

Scott R. Shannon, Sep 13 2021

Keywords

• nonn
• base

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.

Examples

			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.
		

Links

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

Crossrefs

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