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A298467 Smallest positive integer that can be expressed as the sum of consecutive positive squares in exactly n ways. 9

%I #29 Feb 18 2023 20:27:24

%S 1,25,20449,554503705

%N Smallest positive integer that can be expressed as the sum of consecutive positive squares in exactly n ways.

%C a(5) > 10^9. - _Rémy Sigrist_, Jan 19 2018

%C a(5) > 10^15. - _Michael S. Branicky_, Feb 18 2023

%F a(n) <= A234311(n).

%e a(2) = 25 because 3^2 + 4^2 = 5^2 = 25,

%e a(3) = 20449 because 7^2 + 8^2 + ... + 39^2 = 38^2 + 39^2 + ... + 48^2 = 143^2 = 20449.

%e a(4) = 554503705 because 480^2 + 481^2 + ... + 1210^2 = 3570^2 + 3571^2 + ... + 3612^2 = 3613^2 + 3614^2 + ... + 3654^2 = 7442^2 + 7443^2 ... + 7451^2 = 554503705. - _Rémy Sigrist_, Jan 19 2018

%Y Cf. A038547, A111044, A130052, A234304, A234311.

%K nonn,more

%O 1,2

%A _Seiichi Manyama_, Jan 19 2018

%E a(4) from _Rémy Sigrist_, Jan 19 2018

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Last modified March 29 08:08 EDT 2024. Contains 371265 sequences. (Running on oeis4.)