0,2

The exponents can be read off Abramowitz and Stegun, p. 831, column labeled "pi".

Here are the partitions in the order used by Abramowitz and Stegun: 0; 1; 2, 1+1; 3, 1+2, 1+1+1; 4, 1+3, 2+2, 1+1+2, 1+1+1+1; 5, 1+4, 2+3, 1+1+3, 1+2+2, 1+1+1+2, 1+1+1+1+1; ...

Embedded values include 2 6 30 210 2310 30030 ... with unordered factorizations counted by A000110 (Bell numbers) and ordered factorizations by A000670.

When viewed as a table the n-th row has partition(n) (A000041(n)) terms. - Alford Arnold (Alford1940(AT)aol.com), Jul 31 2003

A closely related sequence, A096443(n), gives the number of partitions of the n-th multiset. - Alford Arnold (Alford1940(AT)aol.com), Sep 29 2005

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings).

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

1

2

4,6

8,12,30

16,24,36,60,210

32,48,72,120,180,420,2310

64,96,144,216,240,360,900,840,1260,4620,30030

128,192,288,432,480,720,1080,1800,1680,2520,6300,9240,13860,60060,510510

A025487 in a different order. Cf. A035098, A002110, A000110 and A000670.

Cf. A025487, A059901, A096443.

Sequence in context: A001217 A131885 A087443 this_sequence A063008 A059901 A136101

Adjacent sequences: A036032 A036033 A036034 this_sequence A036036 A036037 A036038

nonn,easy,nice,tabf

njas

More terms from Alford Arnold. Corrected Sep 10, 2002.

More terms from Ray Chandler (rayjchandler(AT)sbcglobal.net), Jul 13 2003