A122263 a(n) = 2*a(n-1) - a(n-2) + 2*(prime(n+1)-prime(n)); a(1) = 2, a(2) = 3.

2, 3, 8, 21, 38, 63, 92, 129, 178, 231, 296, 369, 446, 531, 628, 737, 850, 975, 1108, 1245, 1394, 1551, 1720, 1905, 2098, 2295, 2500, 2709, 2926, 3171, 3424, 3689, 3958, 4247, 4540, 4845, 5162, 5487, 5824, 6173, 6526, 6899, 7276, 7661, 8050, 8463, 8900, 9345, 9794

Offset

1,1

Links

Table of n, a(n) for n=1..49.

Mathematica

a[1] = 2; a[2] = 3; a[n_] := a[n] = 2*a[n - 1] - a[n - 2] + 2*(Prime[n + 1] - Prime[n]); Table[a[n], {n, 1, 30}]

Crossrefs

Sequence in context: A185381 A251608 A288252 * A132730 A004790 A245464

Adjacent sequences: A122260 A122261 A122262 * A122264 A122265 A122266

Keyword

nonn

Author

Roger L. Bagula, Oct 18 2006

Extensions

Edited by N. J. A. Sloane, Oct 23 2006

More terms from Amiram Eldar, Jun 04 2025

Status

approved