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

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A139753 a(2n) = next cube after a(2n-1), a(2n+1) = next square after a(2n). 1
 1, 8, 9, 27, 36, 64, 81, 125, 144, 216, 225, 343, 361, 512, 529, 729, 784, 1000, 1024, 1331, 1369, 1728, 1764, 2197, 2209, 2744, 2809, 3375, 3481, 4096, 4225, 4913, 5041, 5832, 5929, 6859, 6889, 8000, 8100, 9261, 9409, 10648, 10816, 12167, 12321, 13824 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Terms with even indices are cubes n^3 with n=2,3,... (all integers >1), while terms with odd indices are square m^3 with m=1,3,6,9,12,15,19,23,28,32,37,42,47,53,59,65,71,77,83,90,97,104,111,118,126,133,141,149,157,165,173,182,190,199,208,217,226,235,244,253,263,273,282,292,302,312,323,333,344,354,365,375,386,397,408,420,431,442,454,465,477,489,501,513,525,537,549,561,574,586,599,611,624,637,650,663,676,689,703,716,730,743,757,770,784,798,812,826,840,854,869,883,897,912,926,941,956,971,986,1001; cf. A077121 Number of integer squares <= n^3. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..1000 EXAMPLE a(1)=1 considered as square, a(2)=8 = least cube >a(1); a(3)=9 = least square >a(2), a(4)=27 = least cube >a(3), a(5)=36 = least square >a(4), a(6)=64 = least cube >a(5), a(7)=81 = least square >a(6), a(8)=125 = least cube >a(7). MATHEMATICA nxt[{n_, a_}]:={n+1, If[OddQ[n], (Floor[Surd[a, 3]]+1)^3, (Floor[Sqrt[a]]+1)^2]}; NestList[nxt, {1, 1}, 50][[All, 2]] (* Harvey P. Dale, Feb 09 2022 *) CROSSREFS Cf. A077113, A077121. Sequence in context: A114090 A351959 A217843 * A046874 A316416 A303262 Adjacent sequences: A139750 A139751 A139752 * A139754 A139755 A139756 KEYWORD nonn AUTHOR Zak Seidov, May 19 2008 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 June 25 13:13 EDT 2024. Contains 373705 sequences. (Running on oeis4.)