A259447 Triangle read by rows arising from enumeration of partitions into non-integral powers.

1, 2, 1, 5, 2, 1, 8, 7, 2, 1, 11, 15, 8, 2, 1, 14, 28, 19, 8, 2, 1, 18, 45, 41, 21, 8, 2, 1, 22, 70, 78, 48, 22, 8, 2, 1, 27, 100, 134, 99, 52, 22, 8, 2, 1, 31, 138, 218, 186, 111, 53, 22, 8, 2, 1

Offset

1,2

Links

Table of n, a(n) for n=1..55.

B. K. Agarwala, F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216. See Table 1.

B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions into non-integral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207-216. [Annotated scanned copy]

Example

Triangle begins:
1,
2,1,
5,2,1,
8,7,2,1,
11,15,8,2,1,
14,28,19,8,2,1,
18,45,41,21,8,2,1,
22,70,78,48,22,8,2,1,
27,100,134,99,52,22,8,2,1,
31,138,218,186,111,53,22,8,2,1,
...

Crossrefs

Columns include A000093, A000148, A000158, A000169.

Sequence in context: A128694 A088421 A240394 * A228823 A249756 A207607

Adjacent sequences: A259444 A259445 A259446 * A259448 A259449 A259450

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jun 27 2015

Status

approved