A056459 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Other ways to Give

A056459

Number of primitive (aperiodic) palindromes using a maximum of three different symbols.

3, 0, 6, 6, 24, 18, 78, 72, 234, 216, 726, 696, 2184, 2106, 6528, 6480, 19680, 19422, 59046, 58800, 177060, 176418, 531438, 530640, 1594296, 1592136, 4782726, 4780776, 14348904, 14342112, 43046718, 43040160, 129139428, 129120480, 387420384, 387400104, 1162261464, 1162202418, 3486782208

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

OFFSET

1,1

REFERENCES

M. R. Nester (1999). Mathematical investigations of some plant interaction designs. PhD Thesis. University of Queensland, Brisbane, Australia. [See A056391 for pdf file of Chap. 2]

LINKS

Table of n, a(n) for n=1..39.

FORMULA

a(n) = Sum_{d | n} mu(d)*A056449(n/d).

PROG

(PARI) a(n) = sumdiv(n, d, moebius(d)*3^((1 + n/d)\2));

for(n=1, 40, print1(a(n), ", ")); \\ Petros Hadjicostas, Apr 24 2020

CROSSREFS

Cf. A056449.

Column 3 of A284823.

Sequence in context: A019808 A182145 A201569 * A021330 A199055 A016598

Adjacent sequences: A056456 A056457 A056458 * A056460 A056461 A056462