

A259448


Triangle read by rows arising from enumeration of partitions into nonintegral powers.


0



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
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..55.
B. K. Agarwala, F. C. Auluck, Statistical mechanics and partitions into nonintegral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207216. See Table 2.
B. K. Agarwala and F. C. Auluck, Statistical mechanics and partitions into nonintegral powers of integers, Proc. Camb. Phil. Soc., 47 (1951), 207216. [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 A332385
Adjacent sequences: A259445 A259446 A259447 * A259449 A259450 A259451


KEYWORD

nonn,tabl


AUTHOR

N. J. A. Sloane, Jun 27 2015


STATUS

approved



