A328222 Number of compositions of n into distinct parts such that the difference between adjacent parts is at least two.

1, 1, 1, 1, 3, 3, 5, 7, 11, 15, 23, 31, 47, 63, 91, 133, 183, 255, 355, 487, 661, 973, 1287, 1783, 2411, 3289, 4383, 5905, 8337, 10975, 14829, 19783, 26451, 34945, 46403, 60539, 84109, 108471, 144591, 189013, 250257, 324451, 426705, 550443, 715421, 961249

Offset: 0

Author

Alois P. Heinz, Feb 24 2020

Keywords

• nonn

Comments

All terms are odd.

Examples

			a(7) = 7: 142, 241, 25, 52, 16, 61, 7.
a(8) = 11: 314, 413, 152, 251, 35, 53, 26, 62, 17, 71, 8.
a(9) = 15: 135, 153, 315, 351, 513, 531, 162, 261, 36, 63, 27, 72, 18, 81, 9.
a(10) = 23: 2413, 3142, 253, 352, 415, 514, 136, 163, 316, 361, 613, 631, 46, 64, 172, 271, 37, 73, 28, 82, 19, 91, 10.
		

Crossrefs

Cf. A002464, A003114, A003242, A032020, A327710, A332829.