A259448 Triangle read by rows arising from enumeration of partitions into non-integral powers.

1, 4, 1, 9, 5, 1, 16, 18, 5, 1, 25, 45, 22, 5, 1, 36, 100, 71, 24, 5, 1, 49, 185, 186, 84, 24, 5, 1, 64, 323, 427, 251, 90, 24, 5, 1, 81, 522, 888, 653, 288, 92, 24, 5, 1, 100, 804, 1704, 1543, 811, 306, 93, 24, 5, 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 2.

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,
4,1,
9,5,1,
16,18,5,1,
25,45,22,5,1,
36,100,71,24,5,1,
49,185,186,84,24,5,1,
64,323,427,251,90,24,5,1,
81,522,888,653,288,92,24,5,1,
100,804,1704,1543,811,306,93,24,5,1,
...

Crossrefs

Columns include A000339, A000345, A000347.

Sequence in context: A296483 A073364 A125165 * A200113 A065489 A346404

Adjacent sequences: A259445 A259446 A259447 * A259449 A259450 A259451

Keyword

nonn,tabl

Author

N. J. A. Sloane, Jun 27 2015

Status

approved