A110895 a(n) = a(n-1) + 1 + prime(n), with a(1) = 1.

1, 4, 8, 14, 22, 34, 48, 66, 86, 110, 140, 172, 210, 252, 296, 344, 398, 458, 520, 588, 660, 734, 814, 898, 988, 1086, 1188, 1292, 1400, 1510, 1624, 1752, 1884, 2022, 2162, 2312, 2464, 2622, 2786, 2954, 3128, 3308, 3490, 3682, 3876, 4074, 4274, 4486, 4710

Offset: 1

Author

G. L. Honaker, Jr., Sep 20 2005

Keywords

• nonn
• changed

Comments

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

Crossrefs

Cf. A060939.

Programs

Mathematica

RecurrenceTable[{a[n]==a[n-1]+Prime[n]+1,a[0]==1},a,{n,50}]  (* Harvey P. Dale, Apr 22 2011 *)

Formula

a(n) = A060939(n-1) + 1. - Alan Michael Gómez Calderón, Dec 16 2024

Extensions

More terms from Harvey P. Dale, Apr 22 2011