A056461 Number of primitive (aperiodic) palindromes using a maximum of five different symbols.

5, 0, 20, 20, 120, 100, 620, 600, 3100, 3000, 15620, 15480, 78120, 77500, 390480, 390000, 1953120, 1949900, 9765620, 9762480, 48827480, 48812500, 244140620, 244124400, 1220703000, 1220625000, 6103512500, 6103437480, 30517578120, 30517184400, 152587890620, 152587500000

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..32.

Formula

Sum_{d|n} mu(d)*A056451(n/d).

Prog

(PARI) a(n) = sumdiv(n, d, moebius(d)*5^((1 + n/d)\2));
for(n=1, 40, print1(a(n), ", ")); \\ Petros Hadjicostas, Apr 24 2020

Crossrefs

Cf. A056391, A056451.

Column 5 of A284823.

Sequence in context: A094031 A022902 A291926 * A167355 A282577 A279030

Adjacent sequences: A056458 A056459 A056460 * A056462 A056463 A056464

Keyword

nonn

Author

Marks R. Nester

Extensions

More terms from Petros Hadjicostas, Apr 24 2020

Status

approved