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A259448 Triangle read by rows arising from enumeration of partitions into non-integral 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 (list; table; graph; refs; listen; history; text; internal format)
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 A332385

Adjacent sequences:  A259445 A259446 A259447 * A259449 A259450 A259451

KEYWORD

nonn,tabl

AUTHOR

N. J. A. Sloane, Jun 27 2015

STATUS

approved

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Last modified February 24 13:05 EST 2020. Contains 332209 sequences. (Running on oeis4.)