A122263 a(n) = 2*a(n-1)-a(n-2)+2*(Prime[n+1]-Prime[n]).

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

Offset

1,1

Links

Table of n, a(n) for n=1..30.

Mathematica

f[1] = 2; f[2] = 3; f[n_] := f[n] = 2*f[n - 1] - f[n - 2] + 2*(Prime[n + 1] - Prime[n]); Table[f[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

Status

approved