A322050 a(n) = A319019(n)/8.

1, 1, 5, 1, 7, 3, 15, 1, 7, 6, 30, 5, 26, 7, 35, 1, 7, 6, 30, 8, 48, 15, 71, 7, 33, 18, 86, 14, 70, 17, 81, 1, 7, 6, 30, 8, 48, 17, 81, 9, 50, 29, 141, 25, 131, 30, 152, 6, 27, 20, 96, 25, 147, 44, 208, 17, 81, 42, 198, 32, 158, 37, 173, 1, 7, 6, 30, 8

Offset

2,3

Comments

This is the number of new cells turned ON at the n-th generations in a 45-degree sector of the knights-move analog of the Ulam-Warburton cellular automaton defined in A319018.

Links

Rémy Sigrist, Table of n, a(n) for n = 2..65536 (first 2048 terms from Hugo Pfoertner)

Rémy Sigrist, C# program for A322050

Example

This sequence may be redrawn as an array with rows of lengths 1, 2, 4, 8, 16, ...:
1,
1, 5,
1, 7, 3, 15,
1, 7, 6, 30, 5, 26, 7, 35,
1, 7, 6, 30, 8, 48, 15, 71, 7, 33, 18, 86, 14, 70, 17, 81,
1, 7, 6, 30, 8, 48, 17, 81, 9, 50, 29, 141, 25, 131, 30, 152, 6, 27, 20, 96, 25, 147, 44, 208, 17, 81, 42, 198, 32, 158, 37, 173,
...
See A322048 for the final element of these rows; see A322049 for the sequence to which the rows converge, with additional formulas for the n-th element of each (sufficiently long) row. - M. F. Hasler, Dec 18 2018

Prog

(C#) // See Links section.

Crossrefs

Cf. A319018, A319019, A322048, A322049.

Sequence in context: A365318 A195429 A158552 * A370516 A021663 A099218

Adjacent sequences: A322047 A322048 A322049 * A322051 A322052 A322053

Keyword

nonn,tabf

Author

N. J. A. Sloane, Dec 15 2018

Status

approved