The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation. Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A295159 Smallest number with exactly n representations as a sum of five nonnegative squares. 3
 0, 4, 13, 20, 29, 37, 50, 52, 61, 74, 77, 85, 91, 101, 106, 118, 125, 131, 133, 139, 162, 157, 154, 166, 178, 194, 187, 205, 203, 202, 227, 211, 226, 235, 234, 269, 251, 275, 250, 266, 291, 274, 259, 283, 301, 325, 306, 298, 326, 334, 347, 322, 362, 447, 331 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Conjecture: a(448) does not exist, i.e., there is no number with exactly 448 such representations. - Robert Israel, Nov 15 2017 REFERENCES E. Grosswald, Representations of Integers as Sums of Squares. Springer-Verlag, New York, 1985, p. 86, Theorem 1. LINKS Robert Israel, Table of n, a(n) for n = 1..447 (first 200 terms from Robert Price) D. H. Lehmer, On the Partition of Numbers into Squares, The American Mathematical Monthly, Vol. 55, No. 8, October 1948, pp. 476-481. FORMULA A000174(a(n))=n. - Robert Israel, Nov 15 2017 MAPLE N:= 1000: # to get a(1)...a(n) where a(n+1) is the first term > N V:= Array(0..N): for x from 0 to floor(sqrt(N/5)) do   for x from x while x^2 + 4*x^2 <= N do     for x from x while x^2 + x^2 + 3*x^2 <= N do       for x from x while x^2 + x^2 + x^2 + 2*x^2 <= N do         for x from x while x^2 + x^2 + x^2 + x^2 + x^2 <= N do            t:=  x^2 + x^2 + x^2 + x^2 + x^2;            V[t]:= V[t]+1; od od od od od: A:= Vector(max(V), -1): for i from 0 to N do if A[V[i]]=-1 then A[V[i]]:= i fi od: T:= select(t -> A[t]=-1, [\$1..max(V)]): if T = [] then nmax:= max(V) else nmax:= T-1 fi: convert(A[1..nmax], list); # Robert Israel, Nov 15 2017 CROSSREFS Cf. A000174, A006431, A294675. Sequence in context: A299182 A030744 A173512 * A298216 A299092 A299874 Adjacent sequences:  A295156 A295157 A295158 * A295160 A295161 A295162 KEYWORD nonn AUTHOR Robert Price, Nov 15 2017 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 May 14 06:28 EDT 2021. Contains 343879 sequences. (Running on oeis4.)