login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A344812 Numbers that are the sum of six squares in eight or more ways. 6
78, 81, 84, 86, 87, 89, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 107, 108, 109, 110, 111, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

81 is a term because 81 = 1^2 + 1^2 + 1^2 + 2^2 + 5^2 + 7^2 = 1^2 + 1^2 + 2^2 + 5^2 + 5^2 + 5^2 = 1^2 + 1^2 + 3^2 + 3^2 + 5^2 + 6^2 = 1^2 + 2^2 + 2^2 + 2^2 + 2^2 + 8^2 = 1^2 + 2^2 + 3^2 + 3^2 + 3^2 + 7^2 = 1^2 + 4^2 + 4^2 + 4^2 + 4^2 + 4^2 = 2^2 + 2^2 + 2^2 + 2^2 + 4^2 + 7^2 = 2^2 + 2^2 + 4^2 + 4^2 + 4^2 + 5^2 = 2^2 + 3^2 + 3^2 + 3^2 + 5^2 + 5^2 = 3^2 + 3^2 + 3^2 + 3^2 + 3^2 + 6^2.

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, 6):

    tot = sum(pos)

    keep[tot] += 1

    rets = sorted([k for k, v in keep.items() if v >= 8])

    for x in range(len(rets)):

        print(rets[x])

CROSSREFS

Cf. A344801, A344811, A345476, A345485, A345517.

Sequence in context: A176094 A124289 A181467 * A345476 A217006 A053083

Adjacent sequences:  A344809 A344810 A344811 * A344813 A344814 A344815

KEYWORD

nonn

AUTHOR

David Consiglio, Jr., Jun 20 2021

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified December 6 22:42 EST 2021. Contains 349567 sequences. (Running on oeis4.)