This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A255131 n minus the least number of squares that add up to n: a(n) = n - A002828(n). 22
 0, 0, 0, 0, 3, 3, 3, 3, 6, 8, 8, 8, 9, 11, 11, 11, 15, 15, 16, 16, 18, 18, 19, 19, 21, 24, 24, 24, 24, 27, 27, 27, 30, 30, 32, 32, 35, 35, 35, 35, 38, 39, 39, 40, 41, 43, 43, 43, 45, 48, 48, 48, 50, 51, 51, 51, 53, 54, 56, 56, 56, 59, 59, 59, 63, 63, 63, 64, 66, 66, 67, 67, 70, 71, 72, 72, 73, 74, 75, 75, 78, 80, 80, 80, 81 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS The associated beanstalk-sequence starts from a(0) as: 0, 3, 6, 8, 11, 15, 16, 18, 21, ... (A276573). LINKS Robert Israel, Table of n, a(n) for n = 0..10000 FORMULA a(n) = n - A002828(n). a(n) = A260740(n) + A062535(n). EXAMPLE a(0) = 0, because no squares are needed for an empty sum, and 0 - 0 = 0. a(3) = 0, because 3 cannot be represented as a sum of less than three squares (1+1+1), and 3 - 3 = 0. a(4) = 3, because 4 can be represented as a sum of just one square (namely 4 itself), and 4 - 1 = 3. MAPLE f:= proc(n) local F, x;    if issqr(n) then return n-1 fi;    if nops(select(t -> t[1] mod 4 = 3 and t[2]::odd, ifactors(n)[2])) = 0 then return n-2 fi;    x:= n/4^floor(padic:-ordp(n, 2)/2);    if x mod 8 = 7 then n-4 else n-3 fi end proc: f(0):= 0: map(f, [\$0..100]); # Robert Israel, Mar 27 2018 MATHEMATICA {0}~Join~Table[n - (If[First@ # > 0, 1, Length[First@ Split@ #] + 1] &@ SquaresR[Range@ 4, n]), {n, 84}] (* Michael De Vlieger, Sep 08 2016, after Harvey P. Dale at A002828 *) CROSSREFS Subsequence: A005563. Cf. A000290, A002828, A062535, A260731, A260732, A260733, A260734, A262689, A276573. Cf. also A011371, A236840, A260740. Sequence in context: A142716 A211515 A260740 * A280453 A289903 A285047 Adjacent sequences:  A255128 A255129 A255130 * A255132 A255133 A255134 KEYWORD nonn AUTHOR Antti Karttunen, Feb 24 2015 STATUS approved

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

Last modified October 21 08:47 EDT 2019. Contains 328292 sequences. (Running on oeis4.)