First 11 values of A121387 coincide with apparently unrelated new seq

Maximilian Hasler maximilian.hasler at gmail.com
Thu Jun 21 18:36:14 CEST 2007


> Row 1 = A002145 Primes of the form 4n+3
> Row 2 = A002144 Primes of the form 4n+1
> Row 3 = A107978 Products of two primes of form 4n+3
> Row 4 = A080774 Numbers with two prime factors: (4*i+1)*(4*j+3). Also semiprimes of the form 4n+3.
> Row 5 = A121387 Products of two primes of form 4n+1

these definitions are clear, but IMHO the definition / explanation of A121388,
 " classifies the proper odd numbers by form "
isn't clear at all (unless you already know what is meant...)

> Row 6  Products of three primes of form 4n+3
> Row 7  Numbers of form (4i+3)(4j+3)(4k+1)
> Row 8  Numbers of form (4i+3)(4j+1)(4k+1)

(these factors being prime)

> The triangle resulting from reading the array by antidiagonals is A121388.

such an explanation should figure there...
(in %N, at least "..according to number of prime factors 4n+1 resp.
4n+3.." or the like)

Maximilian





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