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A204914 Ordered differences of squared primes.

%I A204914 #16 Apr 18 2022 09:46:53
%S A204914 5,21,16,45,40,24,117,112,96,72,165,160,144,120,48,285,280,264,240,
%T A204914 168,120,357,352,336,312,240,192,72,525,520,504,480,408,360,240,168,
%U A204914 837,832,816,792,720,672,552,480,312,957,952,936,912,840,792,672
%N A204914 Ordered differences of squared primes.
%C A204914 For a guide to related sequences, see A204892.
%H A204914 Michael S. Branicky, <a href="/A204914/b204914.txt">Table of n, a(n) for n = 1..10000</a>
%e A204914 a(1) = s(2) - s(1) =  9 - 4 =  5;
%e A204914 a(2) = s(3) - s(1) = 25 - 4 = 21;
%e A204914 a(3) = s(3) - s(2) = 25 - 9 = 16;
%e A204914 a(4) = s(4) - s(1) = 49 - 4 = 45.
%t A204914 (See the program at A204916.)
%o A204914 (Python)
%o A204914 from math import isqrt
%o A204914 from sympy import prime, primerange
%o A204914 def aupton(terms):
%o A204914   sqps = [p*p for p in primerange(1, prime(isqrt(2*terms)+1)+1)]
%o A204914   return [b-a for i, b in enumerate(sqps) for a in sqps[:i]][:terms]
%o A204914 print(aupton(52)) # _Michael S. Branicky_, May 21 2021
%Y A204914 Cf. A204908, A204900, A204892.
%K A204914 nonn
%O A204914 1,1
%A A204914 _Clark Kimberling_, Jan 20 2012