Integer Sequence Chains

The nature of the code given in the following examples is explained in the index document.

Integer sequences which are calculated directly from their indexes can in turn have that calculation applied over and over again.  Here such a sequence of such results is called a chain, and any stage of the chain of results is called a link.

Base Functions

Functions to be used as a basis for the secondary functions defined below are given with explanation and examples in the index file, so their definitions are simply listed in the following.

Sums of Prime Factors

     spf =: +/@q:             NB. sum of prime factors
    snpf =: +/@~.@q:          NB. sum of nub of prime factors
    sopf =: +/@(1&,)@q:       NB. sum of one and prime factors
   sonpf =: +/@(1&,)@~.@q:    NB. sum of one and nub of prime factors