A276408 - OEIS

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A276408

Analog of A265434 that counts only primitive words.

2

1, 0, 1, 1, 0, 3, 0, 5, 3, 7, 16, 12, 50, 44, 123, 195, 301, 718, 928, 2244, 3459, 6650, 12870, 21045, 44473, 73554, 146579, 267360, 487604, 955299, 1692761, 3325604, 6070308, 11513648, 21880800, 40476571, 78174296, 145039331

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,6

LINKS

Table of n, a(n) for n=0..37.

G. Alkauskas, The modular group and words in its two generators, arXiv:1512.02596 [math.NT], 2015-2017.

G. Alkauskas, The modular group and words in its two generators, Lithuanian Math. J. 57(1) (2017), 1-12.

Jason Bell and Marni Mishna, On the Complexity of the Cogrowth Sequence, arXiv:1805.08118 [math.CO], 2018.

FORMULA

G.f.: 2 - 1/T(x), where T(x) is the g.f. of A265434.

CROSSREFS

Cf. A265434, A276409.

Sequence in context: A037284 A225058 A002123 * A225744 A275393 A029840

Adjacent sequences: A276405 A276406 A276407 * A276409 A276410 A276411

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Sep 14 2016

EXTENSIONS

Name edited, terms a(20) and beyond added by Andrey Zabolotskiy, Aug 03 2022

STATUS

approved