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A164653
a(1) = 1, for n>=2: a(n) = sum of two consecutive noncomposite numbers A008578.
2
1, 3, 5, 8, 12, 18, 24, 30, 36, 42, 52, 60, 68, 78, 84, 90, 100, 112, 120, 128, 138, 144, 152, 162, 172, 186, 198, 204, 210, 216, 222, 240, 258, 268, 276, 288, 300, 308, 320, 330, 340, 352, 360, 372, 384, 390, 396, 410, 434, 450, 456, 462, 472, 480, 492, 508
OFFSET
1,2
COMMENTS
Basically these are the sums of two successive primes. - N. J. A. Sloane, Nov 16 2018
Essentially the same as A001043, A011974 and A069102.
FORMULA
a(n) = A158611(n) + A158611(n+1).
a(n) = A008578(n-1) + A008578(n) for n >= 2.
a(n) = A076273(n-1) + 1 for n >= 2.
a(n) = A000040(n-1) + A008578(n-1) for n >= 2. - Jaroslav Krizek, Dec 13 2009
MATHEMATICA
ListConvolve[{1, 1}, Join[{0, 1}, Prime[Range[100]]]] (* Paolo Xausa, Nov 02 2023 *)
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 19 2009
EXTENSIONS
Edited by R. J. Mathar, Aug 21 2009
Correction for change of offset in A158611 and A008578 in Aug 2009 by Jaroslav Krizek, Jan 27 2010
Formulas edited by Paolo Xausa, Nov 04 2023
STATUS
approved