

A345508


Numbers that are the sum of ten squares in one or more ways.


1



10, 13, 16, 18, 19, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81
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OFFSET

1,1


LINKS

Sean A. Irvine, Table of n, a(n) for n = 1..1000


EXAMPLE

13 is a term because 13 = 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 1^2 + 2^2.


PROG

(Python)
from itertools import combinations_with_replacement as cwr
from collections import defaultdict
keep = defaultdict(lambda: 0)
power_terms = [x**2 for x in range(1, 1000)]
for pos in cwr(power_terms, 10):
tot = sum(pos)
keep[tot] += 1
rets = sorted([k for k, v in keep.items() if v >= 1])
for x in range(len(rets)):
print(rets[x])


CROSSREFS

Sequence in context: A135548 A102502 A309304 * A153045 A055984 A282108
Adjacent sequences: A345505 A345506 A345507 * A345509 A345510 A345511


KEYWORD

nonn


AUTHOR

David Consiglio, Jr., Jun 19 2021


STATUS

approved



