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a(n) = a(n-1) + 1 + prime(n), with a(1) = 1.
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%I #15 Dec 16 2024 22:18:03

%S 1,4,8,14,22,34,48,66,86,110,140,172,210,252,296,344,398,458,520,588,

%T 660,734,814,898,988,1086,1188,1292,1400,1510,1624,1752,1884,2022,

%U 2162,2312,2464,2622,2786,2954,3128,3308,3490,3682,3876,4074,4274,4486,4710

%N a(n) = a(n-1) + 1 + prime(n), with a(1) = 1.

%C The number of integers between a(n) and a(n+1) exclusive equals the n-th prime.

%F a(n) = A060939(n-1) + 1. - _Alan Michael Gómez Calderón_, Dec 16 2024

%t RecurrenceTable[{a[n]==a[n-1]+Prime[n]+1,a[0]==1},a,{n,50}] (* _Harvey P. Dale_, Apr 22 2011 *)

%Y Cf. A060939.

%K nonn

%O 1,2

%A _G. L. Honaker, Jr._, Sep 20 2005

%E More terms from Harvey P. Dale, Apr 22 2011.