A104430 Number of ways to split 1, 2, 3, ..., 4n into n arithmetic progressions each with 4 terms.

1, 1, 2, 4, 11, 23, 68, 161, 488, 1249, 3771, 10388, 35725, 110449, 387057, 1411784, 5938390, 26054261, 129231034, 708657991

Offset: 0

Author

Jonas Wallgren, Mar 17 2005

Keywords

• nonn
• more

Examples

			{{{1,2,3,4},{5,6,7,8},{9,10,11,12}}, {{1,2,3,4},{5,7,9,11},{6,8,10,12}}, {{1,3,5,7},{2,4,6,8},{9,10,11,12}}, {{1,4,7,10},{2,5,8,11},{3,6,9,12}}} are the 4 ways to split 1, 2, 3, ..., 12 into 3 arithmetic progressions each with 4 terms. Thus a(3)=4.
		

Links

• Rémy Sigrist, C program

Crossrefs

Cf. A104429, A104431-A104443, A337520.

Programs

C

See Links section.

Extensions

a(11)-a(17) from Alois P. Heinz, Dec 28 2011

a(0)=1 prepended by Alois P. Heinz, Nov 18 2020

a(18)-a(19) from Rémy Sigrist, Feb 07 2022