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A061266
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Number of squares between consecutive cubes.
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1
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1, 3, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 6, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 9, 9, 10, 10, 9, 10, 10, 10, 11, 10, 10, 10, 11, 10, 11, 11, 11, 12, 11, 11, 12, 11, 12, 12, 12, 11, 12, 12, 12, 12, 13, 12, 13, 12, 13, 13, 13, 13, 13, 13, 14, 13, 13, 13, 14
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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LINKS
| Harry J. Smith, Table of n, a(n) for n=1,...,2000
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FORMULA
| 3 if n==2, [sqrt(n+1)^3-1]-[sqrt((n+1)^3+1] else. - Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 28 2003
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EXAMPLE
| a(2)= 3 as there are three squares 9,16 and 25 between 8 and 27. a(3)= 2 as there are two squares 36 and 49 between 27 and 64. ( 64 is not to be counted.)
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PROG
| (PARI) print1("1, 3, "):for(n=3, 100, print1(sqrtint((n+1)^3-1)-sqrtint(n^3+1)", "))
(PARI) { for (n=1, 2000, a=sqrtint((n+1)^3-1)-sqrtint(n^3+1); if (n==2, a=3); write("b061266.txt", n, " ", a); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 20 2009]
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CROSSREFS
| Sequence in context: A144733 A091460 A035093 * A111114 A181672 A125748
Adjacent sequences: A061263 A061264 A061265 * A061267 A061268 A061269
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Apr 24 2001
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EXTENSIONS
| More terms from Ralf Stephan (ralf(AT)ark.in-berlin.de), Mar 28 2003
OFFSET changed from 0,2 to 1,2 by Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 20 2009
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