Column k=3 of Brent's table A381083 related to prime gaps 2n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =1a(4) =2a(5) =30a(6) =28a(7) =36a(8) =100a(9) =812a(10) =632a(11) =15642a(12) =11090a(13) =12312a(14) =38958a(15) =244829a(16) =265734a(17) =8883060a(18) =5333232a(19) =7236810a(20) =16006998a(21) =159615504a(22) =161805900a(23) =337714368a(24) =259208326a(25) =222480280a(26) =445109722a(27) =7401008550a(28) =6375729282a(29) =514590231096