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A259448 Triangle read by rows arising from enumeration of partitions into non-integral powers. 0

%I #7 Jun 27 2015 18:39:12

%S 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,

%T 5,1,64,323,427,251,90,24,5,1,81,522,888,653,288,92,24,5,1,100,804,

%U 1704,1543,811,306,93,24,5,1

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

%H B. K. Agarwala, F. C. Auluck, <a href="http://dx.doi.org/10.1017/S0305004100026505">Statistical mechanics and partitions into non-integral powers of integers</a>, Proc. Camb. Phil. Soc., 47 (1951), 207-216. See Table 2.

%H B. K. Agarwala and F. C. Auluck, <a href="/A000093/a000093.pdf">Statistical mechanics and partitions into non-integral powers of integers</a>, Proc. Camb. Phil. Soc., 47 (1951), 207-216. [Annotated scanned copy]

%e Triangle begins:

%e 1,

%e 4,1,

%e 9,5,1,

%e 16,18,5,1,

%e 25,45,22,5,1,

%e 36,100,71,24,5,1,

%e 49,185,186,84,24,5,1,

%e 64,323,427,251,90,24,5,1,

%e 81,522,888,653,288,92,24,5,1,

%e 100,804,1704,1543,811,306,93,24,5,1,

%e ...

%Y Columns include A000339, A000345, A000347.

%K nonn,tabl

%O 1,2

%A _N. J. A. Sloane_, Jun 27 2015

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Last modified April 19 16:03 EDT 2024. Contains 371794 sequences. (Running on oeis4.)