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A172297 Partial sums of A002234. 0

%I #4 Mar 30 2012 18:40:50

%S 2,5,11,41,116,197,312,435,684,1046,1430,1892,2404,3155,3977,9289,

%T 17044,26575,38954,54776,73661,96632,119637,218363,361381,512404,

%U 1179475,2374678,3643657,5111420,7125412,9493318,13246266

%N Partial sums of A002234.

%C The subsequence of primes in this sequence begin: 2, 5, 11, 41, 197, 218363, 3643657.

%F a(n) = sum[i=1..n] {i such that the Woodall number i*2^i - 1 is prime}.

%e a(6) = 2 + 3 + 6 + 30 + 75 + 81 = 197 is prime. a(33) = 2 + 3 + 6 + 30 + 75 + 81 + 115 + 123 + 249 + 362 + 384 + 462 + 512 + 751 + 822 + 5312 + 7755 + 9531 + 12379 + 15822 + 18885 + 22971 + 23005 + 98726 + 143018 + 151023 + 667071 + 1195203 + 1268979 + 1467763 + 2013992 + 2367906 + 3752948.

%Y Cf. A000040, A002234, A050918.

%K hard,nonn,less

%O 1,1

%A _Jonathan Vos Post_, Jan 30 2010

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Last modified April 24 14:32 EDT 2024. Contains 371960 sequences. (Running on oeis4.)