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 A114460 Integer part of sqrt(n)+sqrt(n+1)+sqrt(n+2)+sqrt(n+3)+sqrt(n+4). 3
 8, 9, 11, 12, 13, 14, 14, 15, 16, 17, 18, 18, 19, 19, 20, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 41, 41, 41, 42, 42 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 X. Zhan, Formulae for sums of consecutive square roots, The Math. Intelligencer, 27, No. 4, 2005, 4-5. FORMULA a(n) = floor(sqrt(25n+49)). MAPLE seq(floor(sqrt(25*n+49)), n=1..90); MATHEMATICA Table[Floor[Sqrt[25 n + 49]], {n, 80}] (* Vincenzo Librandi, Jun 28 2015 *) Floor[Total/@Partition[Sqrt[Range[80]], 5, 1]] (* Harvey P. Dale, Nov 08 2020 *) PROG (PARI) vector(80, n, sqrtint(25*n+49)) \\ Michel Marcus, Jun 27 2015 (Magma) [Floor(Sqrt(25*n+49)): n in [1..80]]; // Vincenzo Librandi, Jun 28 2015 CROSSREFS Cf. A000267, A114458, A114459. Sequence in context: A048000 A048081 A109936 * A120201 A188056 A128234 Adjacent sequences: A114457 A114458 A114459 * A114461 A114462 A114463 KEYWORD nonn AUTHOR Emeric Deutsch, Nov 28 2005 STATUS approved

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Last modified March 2 17:33 EST 2024. Contains 370498 sequences. (Running on oeis4.)