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A097448
If n is square, replace it with sqrt(n).
4
0, 1, 2, 3, 2, 5, 6, 7, 8, 3, 10, 11, 12, 13, 14, 15, 4, 17, 18, 19, 20, 21, 22, 23, 24, 5, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 6, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 7, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 8, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74
OFFSET
0,3
FORMULA
Sum_{n>=1} (-1)^(n+1)/n = 2*log(2) - Pi^2/12 = A016627 - A072691. - Amiram Eldar, Jul 07 2024
EXAMPLE
Among the first five integers 0, 1, 2, 3, and 4 the squares are 0, 1, and 4. Thus the first five terms in the sequence are 0, 1, 2, 3, and 2.
MATHEMATICA
Table[If[IntegerQ[Sqrt[n]], Sqrt[n], n], {n, 0, 100}] (* Harvey P. Dale, Jul 09 2017 *)
PROG
(PARI) g(n) = for(x=0, n, if(issquare(x), y=sqrt(x), y=x); print1(floor(y)", "))
(PARI) for(n=0, 74, print1(if(issquare(n, &m), m, n)", ")) \\ Zak Seidov, Feb 21 2013
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Cino Hilliard, Aug 23 2004
STATUS
approved