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1: 26.11 Integer Partitions: Compositions
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βΊ
denotes the number of compositions of , and is the number of compositions into exactly
parts.
is the number of compositions of with no 1’s, where again .
The integer 0 is considered to have one composition consisting of no parts:
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βΊ
26.11.2
βΊ
26.11.3
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2: 27.4 Euler Products and Dirichlet Series
3: 7.9 Continued Fractions
4: 8.14 Integrals
5: Sidebar 21.SB1: Periodic Surface Waves
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βΊPart 2.
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6: 26.21 Tables
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βΊAbramowitz and Stegun (1964, Chapter 24) tabulates binomial coefficients for up to 50 and up to 25; extends Table 26.4.1 to ; tabulates Stirling numbers of the first and second kinds, and , for up to 25 and up to ; tabulates partitions and partitions into distinct parts
for up to 500.
βΊAndrews (1976) contains tables of the number of unrestricted partitions, partitions into odd parts, partitions into parts
, partitions into parts
, and unrestricted plane partitions up to 100.
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