some puzzle seqs not in OEIS!

[Don Reble]

As some seqfans have shown, you can get most any sequence by twiddling
with the slightly-irregular sequence of primes. For example:

7  1,6,18,44,90,174,294,472
   a(n) = n * [1 + sum(k=1 to n-1) prime(k)]
   (a(1)'s empty sum is taken to be zero.)

17  36,864,21060,544320
    a(n) = 36 * 3^n * ((3^n)^2 - (3^n div 2)^2)
    (Contrived, but hey, there are only four terms to work with.
     I'm sure the puzzle maker will work primes in somehow. :-)

18  2,7,17,31,59,83,125
    a(n) = (prime(n)+1)*n - 1

--
Don Reble       djr at nk.ca