The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A059903 Periodic part of continued fraction for sqrt(n), encoded by raising successive primes to the terms. If sqrt(n)=c0+[c1,c2,c3...] then a(n)=2^c1*3^c2*5^c3*... 1
 1, 4, 18, 1, 16, 324, 72030, 162, 1, 64, 5832, 2916, 372027810, 10588410, 1458, 1, 256, 104976, 1036385881030500, 26244, 9421689827550, 4946387159463750, 1556496270, 13122, 1, 1024, 1889568, 2542277241000, 76256028326940, 236196 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Could be made less gigantic by omitting final terms in continued fraction, which are always 2*c0. LINKS Table of n, a(n) for n=1..30. FORMULA a(n) = A059900(A059904(n)). EXAMPLE sqrt(14) = 3+[1,2,1,6] so a(14) = 2^1*3^2*5^1*7^6 = 10588410. CROSSREFS Cf. A059904, A059900, A003285. Sequence in context: A154131 A132554 A077275 * A227540 A353701 A246133 Adjacent sequences: A059900 A059901 A059902 * A059904 A059905 A059906 KEYWORD easy,nonn AUTHOR Marc LeBrun, Feb 07 2001 EXTENSIONS Offset corrected by Sean A. Irvine, Oct 14 2022 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 9 06:26 EDT 2024. Contains 375759 sequences. (Running on oeis4.)