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 A032515 Sum of the integer part of 5/2-th roots of integers less than or equal to n. 4
 0, 1, 2, 3, 4, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 77, 81, 85, 89, 93, 97, 101, 105, 109, 113, 117, 121, 125, 129, 133, 137, 141, 145, 149, 153, 157, 161, 165, 169, 174, 179, 184, 189, 194, 199 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(0) = 0, a(n) = a(n - 1) + floor(n^(2/5)). - Alonso del Arte, Jun 18 2017 a(n) = (5/7)*n^(7/5) + O(n). - Charles R Greathouse IV, Jun 25 2017 EXAMPLE 1^(2/5) = 1. 2^(2/5) = 1.3195... 3^(2/5) = 1.5518... 4^(2/5) = 1.7411... 5^(2/5) = 1.90365... 6^(2/5) = 2.047672511... Hence a(1) = 1, a(2) = 2, a(3) = 3, a(4) = 4, a(5) = 5, a(6) = 7. MATHEMATICA Accumulate[Table[Floor[n^(2/5)], {n, 0, 59}]] (* Alonso del Arte, Jun 13 2017 *) PROG (PARI) a(n)=sum(k=1, n, sqrtnint(k^2, 5)) \\ Charles R Greathouse IV, Jun 25 2017 CROSSREFS Sequence in context: A004276 A033057 A092755 * A024926 A051532 A325461 Adjacent sequences:  A032512 A032513 A032514 * A032516 A032517 A032518 KEYWORD nonn,easy AUTHOR Michel Tixier (tixier(AT)dyadel.net) STATUS approved

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Last modified October 15 07:38 EDT 2019. Contains 328026 sequences. (Running on oeis4.)