A056479 Number of primitive (aperiodic) palindromic structures using a maximum of five different symbols.

1, 1, 0, 1, 1, 4, 3, 14, 13, 50, 47, 201, 196, 854, 840, 3839, 3830, 18001, 17947, 86471, 86419, 421989, 421803, 2079474, 2079260, 10306747, 10305897, 51263890, 51263086, 255514354, 255510460, 1275163904, 1275160060, 6368612099, 6368594300, 31821472593, 31821454413

Offset

0,6

Comments

Permuting the symbols will not change the structure.

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

Andrew Howroyd, Table of n, a(n) for n = 0..500

Formula

a(n) = Sum_{d|n} mu(d)*A056470(n/d) for n > 0.

a(n) = Sum_{k=1..5} A284826(n, k) for n > 0. - Andrew Howroyd, Oct 02 2019

Crossrefs

Cf. A056461, A056470, A284826.

Sequence in context: A216486 A321262 A056478 * A056480 A284841 A334752

Adjacent sequences: A056476 A056477 A056478 * A056480 A056481 A056482

Keyword

nonn

Author

Marks R. Nester

Extensions

a(0)=1 prepended and terms a(32) and beyond from Andrew Howroyd, Oct 02 2019

Status

approved