A121451 Maximum product over partitions into parts of the form 3k+2.

0, 2, 0, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2048, 2560, 4096, 5120, 8192, 10240, 16384, 20480, 32768, 40960, 65536, 81920, 131072, 163840, 262144, 327680, 524288, 655360, 1048576

Offset: 1

Author

John W. Layman, Apr 26 2007

Keywords

• nonn

Comments

With the exception of the first three terms of this sequence and the first two terms of A094958, these two sequences appear to be identical.

Examples

			The only partition of 7 into parts of the form 3k+2 is {5,2}, so the maximum product is a(7)=10.
		

Crossrefs

Cf. A000792, A034893, A094958.

Formula

Conjecture. a(1)=a(3)=0, otherwise a(n)=2^(n/2) if n is even and a(n)=5*2^((n-5)/2) if n is odd. (This has been verified for up to n=40.)