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A364411
a(n) = prime(n) + 2*prime(n+1).
2
8, 13, 19, 29, 37, 47, 55, 65, 81, 91, 105, 119, 127, 137, 153, 171, 181, 195, 209, 217, 231, 245, 261, 283, 299, 307, 317, 325, 335, 367, 389, 405, 415, 437, 451, 465, 483, 497, 513, 531, 541, 563, 577, 587, 595, 621, 657, 677, 685, 695, 711, 721, 743, 765, 783
OFFSET
1,1
COMMENTS
All terms > 8 are odd.
FORMULA
a(n) = a(n-1) + A191472(n-1).
a(n) = A000040(n) + A100484(n+1).
a(n) = A000040(n+1) + A001043(n).
MATHEMATICA
ListConvolve[{2, 1}, Prime[Range[100]]] (* Paolo Xausa, Nov 02 2023 *)
CROSSREFS
Cf. A000040, A001043, A062234, A100484, A191472 (first differences), A210497.
Sequence in context: A045636 A214723 A022954 * A359853 A070130 A070131
KEYWORD
nonn,easy
AUTHOR
Paul Curtz, Jul 23 2023
STATUS
approved