A321232 Length of n-th term of A321225.

1, 1, 1, 3, 2, 4, 4, 4, 5, 6, 6, 6, 8, 7, 9, 9, 9, 10, 11, 11, 11, 13, 12, 14, 14, 14, 15, 16, 16, 16, 18, 17, 19, 19, 19, 20, 21, 21, 21, 23, 22, 24, 24, 24, 25, 26, 26, 26, 28, 27, 29, 29, 29, 30, 31, 31, 31, 33, 32, 34, 34, 34, 35, 36, 36, 36, 38, 37, 39, 39, 39, 40

Offset

1,4

Links

Seiichi Manyama, Table of n, a(n) for n = 1..10000

Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,0,0,0,0,1,-1).

Formula

a(n) = a(n-9) + 5, for n > 9.

G.f.: x*(x^8 + 2*x^5 - x^4 + 2*x^3 + 1)/(x^10 - x^9 - x + 1). - Chai Wah Wu, Jan 06 2020

Example

n | A321225 | a(n)
--+---------+-----
1 |       1 |   1
2 |       2 |   1
3 |       3 |   1
4 |     211 |   3
5 |      23 |   2
6 |    2112 |   4
7 |    3211 |   4
8 |    2321 |   4
9 |   12321 |   5

Mathematica

LinearRecurrence[{1, 0, 0, 0, 0, 0, 0, 0, 1, -1}, {1, 1, 1, 3, 2, 4, 4, 4, 5, 6}, 100] (* Paolo Xausa, Apr 24 2024 *)

Crossrefs

Cf. A068962, A321225.

Sequence in context: A134749 A061901 A322349 * A326015 A078822 A224980

Adjacent sequences: A321229 A321230 A321231 * A321233 A321234 A321235

Keyword

nonn,easy

Author

Seiichi Manyama, Oct 31 2018

Status

approved