A128939 Maximal product over partitions of n into parts of the form 3k+1.

1, 1, 1, 4, 4, 4, 7, 16, 16, 16, 28, 64, 64, 64, 112, 256, 256, 256, 448, 1024, 1024, 1024, 1792, 4096, 4096, 4096, 7168, 16384, 16384, 16384, 28672, 65536, 65536, 65536, 114688, 262144, 262144, 262144, 458752, 1048576

Offset

1,4

Links

Table of n, a(n) for n=1..40.

Formula

Conjecture. a(n)=1 if n<4, else a(n)=4^[n/4] if n<>4m+3, else a(n)=7*4^([n/4]-1), where [...] denotes the Floor function. (This has been verified up to n=40.)

Crossrefs

Cf. A000792, A034893, A094958.

Sequence in context: A211638 A211639 A010658 * A342484 A105352 A132200

Adjacent sequences: A128936 A128937 A128938 * A128940 A128941 A128942

Keyword

nonn

Author

John W. Layman, Apr 27 2007

Status

approved