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A224981 Numbers that are the sum of exactly 6 distinct nonzero squares. 7
91, 104, 115, 119, 124, 130, 131, 136, 139, 143, 146, 147, 151, 152, 154, 155, 156, 159, 160, 163, 164, 166, 167, 168, 169, 170, 171, 175, 176, 178, 179, 180, 181, 182, 184, 187, 188, 190, 191, 192, 194, 195, 196, 199, 200, 201, 202, 203, 204, 206, 207, 208 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Paul T. Bateman, Adolf J. Hildebrand, and George B. Purdy, Sums of distinct squares, Acta Arithmetica 67 (1994), pp. 349-380.

Index entries for sequences related to sums of squares

EXAMPLE

a(1) = 1 + 4 + 9 + 16 + 25 + 36 = 91 = A000330(6);

a(2) = 1 + 4 + 9 + 16 + 25 + 49 = 104;

a(3) = 1 + 4 + 9 + 16 + 36 + 49 = 115;

a(4) = 1 + 4 + 9 + 16 + 25 + 64 = 119;

a(5) = 1 + 4 + 9 + 25 + 36 + 49 = 124.

PROG

(Haskell)

a224981 n = a224981_list !! (n-1)

a224981_list = filter (p 6 $ tail a000290_list) [1..] where

   p k (q:qs) m = k == 0 && m == 0 ||

                  q <= m && k >= 0 && (p (k - 1) qs (m - q) || p k qs m)

CROSSREFS

Cf. A003995, A004431, A004432, A004433, A004434, A224982, A224983, A000290.

Sequence in context: A288453 A184034 A294742 * A261260 A161945 A140389

Adjacent sequences:  A224978 A224979 A224980 * A224982 A224983 A224984

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 22 2013

STATUS

approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)