A361150 a(n) = A014284(n^2) + A014284(n^2-1).

1, 17, 137, 611, 1839, 4405, 9101, 16859, 28987, 46663, 71797, 105863, 151259, 209895, 284777, 378661, 493863, 634985, 804801, 1007439, 1245345, 1526369, 1851971, 2227153, 2658287, 3151447, 3711837, 4343483, 5053859, 5849959, 6739255, 7727399, 8825137, 10034745

Offset

1,2

Links

Table of n, a(n) for n=1..34.

Formula

a(n) = 2*A014284(n^2-1) + A008578(n^2). - Michel Marcus, Aug 10 2023

Mathematica

nn = 34; s = Accumulate[{1}~Join~Prime@ Range[nn^2]]; {1}~Join~Array[Total@ s[[# - 1 ;; #]] &[#^2] &, nn - 1, 2] (* Michael De Vlieger, Aug 10 2023 *)

Prog

(PARI) f(n) = if (n, 1 + vecsum(primes(n-1)), 0); \\ A014284
a(n) = f(n^2) + f(n^2-1); \\ Michel Marcus, Aug 10 2023

Crossrefs

Cf. A008578, A014284.

Sequence in context: A060220 A041550 A142788 * A244874 A085958 A120784

Adjacent sequences: A361147 A361148 A361149 * A361151 A361152 A361153

Keyword

nonn

Author

N. J. A. Sloane, Mar 02 2023

Status

approved