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 A135277 a(n) = prime(2n-1) + prime(2n) + prime(2n+1). 1
 10, 23, 41, 59, 83, 109, 131, 159, 187, 211, 235, 269, 301, 319, 349, 395, 425, 457, 487, 519, 551, 581, 607, 661, 689, 713, 749, 789, 817, 841, 883, 931, 961, 1015, 1049, 1079, 1119, 1151, 1187, 1229, 1271, 1303, 1331, 1367, 1391, 1433, 1477, 1511, 1553, 1611 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Original name was: Sum of staircase primes according to the rule: bottom + top + next top. LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 FORMULA We list the primes in staircase fashion as in A135274. The right diagonal, RD(n), is the set of top primes and the left diagonal, LD(n), is the set of bottom primes. Then a(n) = LD(n+1) + RD(n) + RD(n+2). a(n) = A034961(2*n-1). - R. J. Mathar, Sep 10 2016 MATHEMATICA Table[Prime[n + 1] + Prime[n] + Prime[n + 2], {n, 1, 50}][[;; ;; 2]] (* G. C. Greubel, Oct 08 2016 *) PROG (PARI) g(n) = forstep(x=1, n, 2, y=prime(x+1) + prime(x) + prime(x+2); print1(y", ")) (PARI) a(n) = prime(2*n-1) + prime(2*n) + prime(2*n+1) \\ Charles R Greathouse IV, Oct 08 2016 (Python) from sympy import prime def a(n): return prime(2*n-1) + prime(2*n) + prime(2*n+1) print([a(n) for n in range(1, 51)]) # Michael S. Branicky, Oct 23 2021 CROSSREFS Cf. A034961, A135274. Sequence in context: A275238 A140674 A072245 * A156202 A266080 A316093 Adjacent sequences: A135274 A135275 A135276 * A135278 A135279 A135280 KEYWORD nonn,easy AUTHOR Cino Hilliard, Dec 02 2007 EXTENSIONS New name from Charles R Greathouse IV, Oct 08 2016 STATUS approved

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Last modified December 1 08:20 EST 2022. Contains 358458 sequences. (Running on oeis4.)